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Finding the Fourth Proportional to 461.69, 689.14 and 423.22

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Solution

The fourth proportional to 461.69, 689.14 and 423.22 is: 631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.69 : 689.14 = 423.22 : x
  2. Step 2: Convert to fraction form
    461.69/689.14 = 423.22/x
  3. Step 3: Cross multiply
    461.69x = 689.14 × 423.22
  4. Step 4: Simplify right side
    461.69x = 291,657.83
  5. Step 5: Solve for x
    x = 291,657.83/461.69
  6. Step 6: Final answer
    x = 631.72

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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.