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Finding the Fourth Proportional to 916.81, 1,375.36 and 454.61

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Solution

The fourth proportional to 916.81, 1,375.36 and 454.61 is: 681.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.81 : 1,375.36 = 454.61 : x
  2. Step 2: Convert to fraction form
    916.81/1,375.36 = 454.61/x
  3. Step 3: Cross multiply
    916.81x = 1,375.36 × 454.61
  4. Step 4: Simplify right side
    916.81x = 625,254.71
  5. Step 5: Solve for x
    x = 625,254.71/916.81
  6. Step 6: Final answer
    x = 681.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.