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Finding the Fourth Proportional to 746.83, 1,030.35 and 484.75

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Solution

The fourth proportional to 746.83, 1,030.35 and 484.75 is: 668.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.83 : 1,030.35 = 484.75 : x
  2. Step 2: Convert to fraction form
    746.83/1,030.35 = 484.75/x
  3. Step 3: Cross multiply
    746.83x = 1,030.35 × 484.75
  4. Step 4: Simplify right side
    746.83x = 499,462.16
  5. Step 5: Solve for x
    x = 499,462.16/746.83
  6. Step 6: Final answer
    x = 668.78

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Half scale
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Double scale
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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.