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Finding the Fourth Proportional to 712.42, 1,066.56 and 644.10

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Solution

The fourth proportional to 712.42, 1,066.56 and 644.10 is: 964.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.42 : 1,066.56 = 644.10 : x
  2. Step 2: Convert to fraction form
    712.42/1,066.56 = 644.10/x
  3. Step 3: Cross multiply
    712.42x = 1,066.56 × 644.10
  4. Step 4: Simplify right side
    712.42x = 686,971.30
  5. Step 5: Solve for x
    x = 686,971.30/712.42
  6. Step 6: Final answer
    x = 964.28

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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.