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Finding the Fourth Proportional to 461.72, 688.47 and 456.05

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Solution

The fourth proportional to 461.72, 688.47 and 456.05 is: 680.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.72 : 688.47 = 456.05 : x
  2. Step 2: Convert to fraction form
    461.72/688.47 = 456.05/x
  3. Step 3: Cross multiply
    461.72x = 688.47 × 456.05
  4. Step 4: Simplify right side
    461.72x = 313,976.74
  5. Step 5: Solve for x
    x = 313,976.74/461.72
  6. Step 6: Final answer
    x = 680.02

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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.