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Finding the Fourth Proportional to 1,010.12, 1,512.14 and 644.40

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Solution

The fourth proportional to 1,010.12, 1,512.14 and 644.40 is: 964.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.12 : 1,512.14 = 644.40 : x
  2. Step 2: Convert to fraction form
    1,010.12/1,512.14 = 644.40/x
  3. Step 3: Cross multiply
    1,010.12x = 1,512.14 × 644.40
  4. Step 4: Simplify right side
    1,010.12x = 974,419.79
  5. Step 5: Solve for x
    x = 974,419.79/1,010.12
  6. Step 6: Final answer
    x = 964.66

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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.