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Finding the Fourth Proportional to 1,068.28, 1,601.31 and 491.02

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Solution

The fourth proportional to 1,068.28, 1,601.31 and 491.02 is: 736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.28 : 1,601.31 = 491.02 : x
  2. Step 2: Convert to fraction form
    1,068.28/1,601.31 = 491.02/x
  3. Step 3: Cross multiply
    1,068.28x = 1,601.31 × 491.02
  4. Step 4: Simplify right side
    1,068.28x = 786,275.24
  5. Step 5: Solve for x
    x = 786,275.24/1,068.28
  6. Step 6: Final answer
    x = 736.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.