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Finding the Fourth Proportional to 1,030.98, 1,545.72 and 337.43

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Solution

The fourth proportional to 1,030.98, 1,545.72 and 337.43 is: 505.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.98 : 1,545.72 = 337.43 : x
  2. Step 2: Convert to fraction form
    1,030.98/1,545.72 = 337.43/x
  3. Step 3: Cross multiply
    1,030.98x = 1,545.72 × 337.43
  4. Step 4: Simplify right side
    1,030.98x = 521,564.57
  5. Step 5: Solve for x
    x = 521,564.57/1,030.98
  6. Step 6: Final answer
    x = 505.89

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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.