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Finding the Fourth Proportional to 524.04, 721.37 and 453.12

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Solution

The fourth proportional to 524.04, 721.37 and 453.12 is: 623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.04 : 721.37 = 453.12 : x
  2. Step 2: Convert to fraction form
    524.04/721.37 = 453.12/x
  3. Step 3: Cross multiply
    524.04x = 721.37 × 453.12
  4. Step 4: Simplify right side
    524.04x = 326,862.20
  5. Step 5: Solve for x
    x = 326,862.20/524.04
  6. Step 6: Final answer
    x = 623.73

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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.