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Finding the Fourth Proportional to 537.24, 740.18 and 478.23

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Solution

The fourth proportional to 537.24, 740.18 and 478.23 is: 658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.24 : 740.18 = 478.23 : x
  2. Step 2: Convert to fraction form
    537.24/740.18 = 478.23/x
  3. Step 3: Cross multiply
    537.24x = 740.18 × 478.23
  4. Step 4: Simplify right side
    537.24x = 353,973.89
  5. Step 5: Solve for x
    x = 353,973.89/537.24
  6. Step 6: Final answer
    x = 658.87

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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.