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Finding the Fourth Proportional to 932.98, 1,287.57 and 617.69

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Solution

The fourth proportional to 932.98, 1,287.57 and 617.69 is: 852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.98 : 1,287.57 = 617.69 : x
  2. Step 2: Convert to fraction form
    932.98/1,287.57 = 617.69/x
  3. Step 3: Cross multiply
    932.98x = 1,287.57 × 617.69
  4. Step 4: Simplify right side
    932.98x = 795,319.11
  5. Step 5: Solve for x
    x = 795,319.11/932.98
  6. Step 6: Final answer
    x = 852.45

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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.