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Finding the Fourth Proportional to 732.77, 1,011.23 and 401.20

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Solution

The fourth proportional to 732.77, 1,011.23 and 401.20 is: 553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.77 : 1,011.23 = 401.20 : x
  2. Step 2: Convert to fraction form
    732.77/1,011.23 = 401.20/x
  3. Step 3: Cross multiply
    732.77x = 1,011.23 × 401.20
  4. Step 4: Simplify right side
    732.77x = 405,705.48
  5. Step 5: Solve for x
    x = 405,705.48/732.77
  6. Step 6: Final answer
    x = 553.66

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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.