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Finding the Fourth Proportional to 546.99, 750.80 and 500.28

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Solution

The fourth proportional to 546.99, 750.80 and 500.28 is: 686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.99 : 750.80 = 500.28 : x
  2. Step 2: Convert to fraction form
    546.99/750.80 = 500.28/x
  3. Step 3: Cross multiply
    546.99x = 750.80 × 500.28
  4. Step 4: Simplify right side
    546.99x = 375,614.99
  5. Step 5: Solve for x
    x = 375,614.99/546.99
  6. Step 6: Final answer
    x = 686.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.