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Finding the Fourth Proportional to 971.72, 1,457.82 and 423.76

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Solution

The fourth proportional to 971.72, 1,457.82 and 423.76 is: 635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.72 : 1,457.82 = 423.76 : x
  2. Step 2: Convert to fraction form
    971.72/1,457.82 = 423.76/x
  3. Step 3: Cross multiply
    971.72x = 1,457.82 × 423.76
  4. Step 4: Simplify right side
    971.72x = 617,765.80
  5. Step 5: Solve for x
    x = 617,765.80/971.72
  6. Step 6: Final answer
    x = 635.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.