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Finding the Fourth Proportional to 545.18, 751.84 and 462.20

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Solution

The fourth proportional to 545.18, 751.84 and 462.20 is: 637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.18 : 751.84 = 462.20 : x
  2. Step 2: Convert to fraction form
    545.18/751.84 = 462.20/x
  3. Step 3: Cross multiply
    545.18x = 751.84 × 462.20
  4. Step 4: Simplify right side
    545.18x = 347,500.45
  5. Step 5: Solve for x
    x = 347,500.45/545.18
  6. Step 6: Final answer
    x = 637.40

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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.