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Finding the Fourth Proportional to 976.29, 1,463.25 and 586.47

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Solution

The fourth proportional to 976.29, 1,463.25 and 586.47 is: 878.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.29 : 1,463.25 = 586.47 : x
  2. Step 2: Convert to fraction form
    976.29/1,463.25 = 586.47/x
  3. Step 3: Cross multiply
    976.29x = 1,463.25 × 586.47
  4. Step 4: Simplify right side
    976.29x = 858,152.23
  5. Step 5: Solve for x
    x = 858,152.23/976.29
  6. Step 6: Final answer
    x = 878.99

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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.