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Finding the Fourth Proportional to 614.79, 846.46 and 542.85

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Solution

The fourth proportional to 614.79, 846.46 and 542.85 is: 747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.79 : 846.46 = 542.85 : x
  2. Step 2: Convert to fraction form
    614.79/846.46 = 542.85/x
  3. Step 3: Cross multiply
    614.79x = 846.46 × 542.85
  4. Step 4: Simplify right side
    614.79x = 459,500.81
  5. Step 5: Solve for x
    x = 459,500.81/614.79
  6. Step 6: Final answer
    x = 747.41

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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.