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Finding the Fourth Proportional to 956.60, 1,320.24 and 537.12

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Solution

The fourth proportional to 956.60, 1,320.24 and 537.12 is: 741.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.60 : 1,320.24 = 537.12 : x
  2. Step 2: Convert to fraction form
    956.60/1,320.24 = 537.12/x
  3. Step 3: Cross multiply
    956.60x = 1,320.24 × 537.12
  4. Step 4: Simplify right side
    956.60x = 709,127.31
  5. Step 5: Solve for x
    x = 709,127.31/956.60
  6. Step 6: Final answer
    x = 741.30

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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.