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Finding the Fourth Proportional to 628.75, 866.59 and 431.92

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Solution

The fourth proportional to 628.75, 866.59 and 431.92 is: 595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.75 : 866.59 = 431.92 : x
  2. Step 2: Convert to fraction form
    628.75/866.59 = 431.92/x
  3. Step 3: Cross multiply
    628.75x = 866.59 × 431.92
  4. Step 4: Simplify right side
    628.75x = 374,297.55
  5. Step 5: Solve for x
    x = 374,297.55/628.75
  6. Step 6: Final answer
    x = 595.30

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Find fourth proportional to 314.38, 433.30 and 215.96
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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.