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Finding the Fourth Proportional to 956.98, 1,434.42 and 545.21

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Solution

The fourth proportional to 956.98, 1,434.42 and 545.21 is: 817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.98 : 1,434.42 = 545.21 : x
  2. Step 2: Convert to fraction form
    956.98/1,434.42 = 545.21/x
  3. Step 3: Cross multiply
    956.98x = 1,434.42 × 545.21
  4. Step 4: Simplify right side
    956.98x = 782,064.14
  5. Step 5: Solve for x
    x = 782,064.14/956.98
  6. Step 6: Final answer
    x = 817.22

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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.