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Finding the Fourth Proportional to 1,153.98, 1,731.12 and 460.71

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Solution

The fourth proportional to 1,153.98, 1,731.12 and 460.71 is: 691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.98 : 1,731.12 = 460.71 : x
  2. Step 2: Convert to fraction form
    1,153.98/1,731.12 = 460.71/x
  3. Step 3: Cross multiply
    1,153.98x = 1,731.12 × 460.71
  4. Step 4: Simplify right side
    1,153.98x = 797,544.30
  5. Step 5: Solve for x
    x = 797,544.30/1,153.98
  6. Step 6: Final answer
    x = 691.12

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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.