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Finding the Fourth Proportional to 1,073.70, 1,610.66 and 424.29

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Solution

The fourth proportional to 1,073.70, 1,610.66 and 424.29 is: 636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.70 : 1,610.66 = 424.29 : x
  2. Step 2: Convert to fraction form
    1,073.70/1,610.66 = 424.29/x
  3. Step 3: Cross multiply
    1,073.70x = 1,610.66 × 424.29
  4. Step 4: Simplify right side
    1,073.70x = 683,376.76
  5. Step 5: Solve for x
    x = 683,376.76/1,073.70
  6. Step 6: Final answer
    x = 636.47

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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.