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Finding the Fourth Proportional to 909.13, 1,254.89 and 531.15

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Solution

The fourth proportional to 909.13, 1,254.89 and 531.15 is: 733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.13 : 1,254.89 = 531.15 : x
  2. Step 2: Convert to fraction form
    909.13/1,254.89 = 531.15/x
  3. Step 3: Cross multiply
    909.13x = 1,254.89 × 531.15
  4. Step 4: Simplify right side
    909.13x = 666,534.82
  5. Step 5: Solve for x
    x = 666,534.82/909.13
  6. Step 6: Final answer
    x = 733.16

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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.