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Finding the Fourth Proportional to 545.77, 756.98 and 527.24

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Solution

The fourth proportional to 545.77, 756.98 and 527.24 is: 731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.77 : 756.98 = 527.24 : x
  2. Step 2: Convert to fraction form
    545.77/756.98 = 527.24/x
  3. Step 3: Cross multiply
    545.77x = 756.98 × 527.24
  4. Step 4: Simplify right side
    545.77x = 399,111.37
  5. Step 5: Solve for x
    x = 399,111.37/545.77
  6. Step 6: Final answer
    x = 731.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.