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Finding the Fourth Proportional to 939.30, 1,296.07 and 566.16

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Solution

The fourth proportional to 939.30, 1,296.07 and 566.16 is: 781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.30 : 1,296.07 = 566.16 : x
  2. Step 2: Convert to fraction form
    939.30/1,296.07 = 566.16/x
  3. Step 3: Cross multiply
    939.30x = 1,296.07 × 566.16
  4. Step 4: Simplify right side
    939.30x = 733,782.99
  5. Step 5: Solve for x
    x = 733,782.99/939.30
  6. Step 6: Final answer
    x = 781.20

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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.