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Finding the Fourth Proportional to 732.34, 1,010.64 and 400.78

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Solution

The fourth proportional to 732.34, 1,010.64 and 400.78 is: 553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.34 : 1,010.64 = 400.78 : x
  2. Step 2: Convert to fraction form
    732.34/1,010.64 = 400.78/x
  3. Step 3: Cross multiply
    732.34x = 1,010.64 × 400.78
  4. Step 4: Simplify right side
    732.34x = 405,039.25
  5. Step 5: Solve for x
    x = 405,039.25/732.34
  6. Step 6: Final answer
    x = 553.08

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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.