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Finding the Fourth Proportional to 545.89, 814.50 and 507.18

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Solution

The fourth proportional to 545.89, 814.50 and 507.18 is: 756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.89 : 814.50 = 507.18 : x
  2. Step 2: Convert to fraction form
    545.89/814.50 = 507.18/x
  3. Step 3: Cross multiply
    545.89x = 814.50 × 507.18
  4. Step 4: Simplify right side
    545.89x = 413,093.15
  5. Step 5: Solve for x
    x = 413,093.15/545.89
  6. Step 6: Final answer
    x = 756.74

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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.