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Finding the Fourth Proportional to 898.49, 1,240.10 and 566.69

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Solution

The fourth proportional to 898.49, 1,240.10 and 566.69 is: 782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.49 : 1,240.10 = 566.69 : x
  2. Step 2: Convert to fraction form
    898.49/1,240.10 = 566.69/x
  3. Step 3: Cross multiply
    898.49x = 1,240.10 × 566.69
  4. Step 4: Simplify right side
    898.49x = 702,752.27
  5. Step 5: Solve for x
    x = 702,752.27/898.49
  6. Step 6: Final answer
    x = 782.15

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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.