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Finding the Fourth Proportional to 732.58, 1,010.98 and 401.02

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Solution

The fourth proportional to 732.58, 1,010.98 and 401.02 is: 553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.58 : 1,010.98 = 401.02 : x
  2. Step 2: Convert to fraction form
    732.58/1,010.98 = 401.02/x
  3. Step 3: Cross multiply
    732.58x = 1,010.98 × 401.02
  4. Step 4: Simplify right side
    732.58x = 405,423.20
  5. Step 5: Solve for x
    x = 405,423.20/732.58
  6. Step 6: Final answer
    x = 553.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.