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Finding the Fourth Proportional to 916.72, 1,371.63 and 545.16

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Solution

The fourth proportional to 916.72, 1,371.63 and 545.16 is: 815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.72 : 1,371.63 = 545.16 : x
  2. Step 2: Convert to fraction form
    916.72/1,371.63 = 545.16/x
  3. Step 3: Cross multiply
    916.72x = 1,371.63 × 545.16
  4. Step 4: Simplify right side
    916.72x = 747,765.00
  5. Step 5: Solve for x
    x = 747,765.00/916.72
  6. Step 6: Final answer
    x = 815.70

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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.