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Finding the Fourth Proportional to 964.40, 1,330.18 and 571.12

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Solution

The fourth proportional to 964.40, 1,330.18 and 571.12 is: 787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.40 : 1,330.18 = 571.12 : x
  2. Step 2: Convert to fraction form
    964.40/1,330.18 = 571.12/x
  3. Step 3: Cross multiply
    964.40x = 1,330.18 × 571.12
  4. Step 4: Simplify right side
    964.40x = 759,692.40
  5. Step 5: Solve for x
    x = 759,692.40/964.40
  6. Step 6: Final answer
    x = 787.74

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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.