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Finding the Fourth Proportional to 977.23, 1,462.38 and 586.96

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Solution

The fourth proportional to 977.23, 1,462.38 and 586.96 is: 878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.23 : 1,462.38 = 586.96 : x
  2. Step 2: Convert to fraction form
    977.23/1,462.38 = 586.96/x
  3. Step 3: Cross multiply
    977.23x = 1,462.38 × 586.96
  4. Step 4: Simplify right side
    977.23x = 858,358.56
  5. Step 5: Solve for x
    x = 858,358.56/977.23
  6. Step 6: Final answer
    x = 878.36

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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.