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Finding the Fourth Proportional to 1,001.85, 1,502.38 and 416.46

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Solution

The fourth proportional to 1,001.85, 1,502.38 and 416.46 is: 624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.85 : 1,502.38 = 416.46 : x
  2. Step 2: Convert to fraction form
    1,001.85/1,502.38 = 416.46/x
  3. Step 3: Cross multiply
    1,001.85x = 1,502.38 × 416.46
  4. Step 4: Simplify right side
    1,001.85x = 625,681.17
  5. Step 5: Solve for x
    x = 625,681.17/1,001.85
  6. Step 6: Final answer
    x = 624.53

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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.