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Finding the Fourth Proportional to 974.16, 1,459.56 and 644.89

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Solution

The fourth proportional to 974.16, 1,459.56 and 644.89 is: 966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.16 : 1,459.56 = 644.89 : x
  2. Step 2: Convert to fraction form
    974.16/1,459.56 = 644.89/x
  3. Step 3: Cross multiply
    974.16x = 1,459.56 × 644.89
  4. Step 4: Simplify right side
    974.16x = 941,255.65
  5. Step 5: Solve for x
    x = 941,255.65/974.16
  6. Step 6: Final answer
    x = 966.23

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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.