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Finding the Fourth Proportional to 732.51, 1,010.85 and 400.92

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Solution

The fourth proportional to 732.51, 1,010.85 and 400.92 is: 553.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.51 : 1,010.85 = 400.92 : x
  2. Step 2: Convert to fraction form
    732.51/1,010.85 = 400.92/x
  3. Step 3: Cross multiply
    732.51x = 1,010.85 × 400.92
  4. Step 4: Simplify right side
    732.51x = 405,269.98
  5. Step 5: Solve for x
    x = 405,269.98/732.51
  6. Step 6: Final answer
    x = 553.26

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1.5x scale

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.