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Finding the Fourth Proportional to 642.72, 958.90 and 545.93

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Solution

The fourth proportional to 642.72, 958.90 and 545.93 is: 814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.72 : 958.90 = 545.93 : x
  2. Step 2: Convert to fraction form
    642.72/958.90 = 545.93/x
  3. Step 3: Cross multiply
    642.72x = 958.90 × 545.93
  4. Step 4: Simplify right side
    642.72x = 523,492.28
  5. Step 5: Solve for x
    x = 523,492.28/642.72
  6. Step 6: Final answer
    x = 814.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.