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Finding the Fourth Proportional to 964.18, 1,330.71 and 544.71

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Solution

The fourth proportional to 964.18, 1,330.71 and 544.71 is: 751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.18 : 1,330.71 = 544.71 : x
  2. Step 2: Convert to fraction form
    964.18/1,330.71 = 544.71/x
  3. Step 3: Cross multiply
    964.18x = 1,330.71 × 544.71
  4. Step 4: Simplify right side
    964.18x = 724,851.04
  5. Step 5: Solve for x
    x = 724,851.04/964.18
  6. Step 6: Final answer
    x = 751.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.