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Finding the Fourth Proportional to 545.77, 753.23 and 457.10

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Solution

The fourth proportional to 545.77, 753.23 and 457.10 is: 630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.77 : 753.23 = 457.10 : x
  2. Step 2: Convert to fraction form
    545.77/753.23 = 457.10/x
  3. Step 3: Cross multiply
    545.77x = 753.23 × 457.10
  4. Step 4: Simplify right side
    545.77x = 344,295.38
  5. Step 5: Solve for x
    x = 344,295.38/545.77
  6. Step 6: Final answer
    x = 630.85

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1.5x scale

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.