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Finding the Fourth Proportional to 545.86, 817.35 and 421.93

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Solution

The fourth proportional to 545.86, 817.35 and 421.93 is: 631.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.86 : 817.35 = 421.93 : x
  2. Step 2: Convert to fraction form
    545.86/817.35 = 421.93/x
  3. Step 3: Cross multiply
    545.86x = 817.35 × 421.93
  4. Step 4: Simplify right side
    545.86x = 344,864.49
  5. Step 5: Solve for x
    x = 344,864.49/545.86
  6. Step 6: Final answer
    x = 631.78

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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.