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Finding the Fourth Proportional to 540.52, 806.40 and 458.44

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Solution

The fourth proportional to 540.52, 806.40 and 458.44 is: 683.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.52 : 806.40 = 458.44 : x
  2. Step 2: Convert to fraction form
    540.52/806.40 = 458.44/x
  3. Step 3: Cross multiply
    540.52x = 806.40 × 458.44
  4. Step 4: Simplify right side
    540.52x = 369,686.02
  5. Step 5: Solve for x
    x = 369,686.02/540.52
  6. Step 6: Final answer
    x = 683.95

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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.