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Finding the Fourth Proportional to 915.70, 1,263.91 and 566.19

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Solution

The fourth proportional to 915.70, 1,263.91 and 566.19 is: 781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.70 : 1,263.91 = 566.19 : x
  2. Step 2: Convert to fraction form
    915.70/1,263.91 = 566.19/x
  3. Step 3: Cross multiply
    915.70x = 1,263.91 × 566.19
  4. Step 4: Simplify right side
    915.70x = 715,613.20
  5. Step 5: Solve for x
    x = 715,613.20/915.70
  6. Step 6: Final answer
    x = 781.49

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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.