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Finding the Fourth Proportional to 976.10, 1,463.42 and 462.50

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Solution

The fourth proportional to 976.10, 1,463.42 and 462.50 is: 693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.10 : 1,463.42 = 462.50 : x
  2. Step 2: Convert to fraction form
    976.10/1,463.42 = 462.50/x
  3. Step 3: Cross multiply
    976.10x = 1,463.42 × 462.50
  4. Step 4: Simplify right side
    976.10x = 676,831.75
  5. Step 5: Solve for x
    x = 676,831.75/976.10
  6. Step 6: Final answer
    x = 693.40

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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.