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Finding the Fourth Proportional to 462.72, 689.96 and 457.05

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Solution

The fourth proportional to 462.72, 689.96 and 457.05 is: 681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.72 : 689.96 = 457.05 : x
  2. Step 2: Convert to fraction form
    462.72/689.96 = 457.05/x
  3. Step 3: Cross multiply
    462.72x = 689.96 × 457.05
  4. Step 4: Simplify right side
    462.72x = 315,343.93
  5. Step 5: Solve for x
    x = 315,343.93/462.72
  6. Step 6: Final answer
    x = 681.50

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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.