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Finding the Fourth Proportional to 746.77, 1,030.52 and 431.83

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Solution

The fourth proportional to 746.77, 1,030.52 and 431.83 is: 595.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.77 : 1,030.52 = 431.83 : x
  2. Step 2: Convert to fraction form
    746.77/1,030.52 = 431.83/x
  3. Step 3: Cross multiply
    746.77x = 1,030.52 × 431.83
  4. Step 4: Simplify right side
    746.77x = 445,011.82
  5. Step 5: Solve for x
    x = 445,011.82/746.77
  6. Step 6: Final answer
    x = 595.92

Related Problems

Find fourth proportional to 373.38, 515.26 and 215.92
Half scale
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Double scale
Find fourth proportional to 747.77, 1,031.90 and 432.83
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.