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Finding the Fourth Proportional to 956.78, 1,320.38 and 537.12

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Solution

The fourth proportional to 956.78, 1,320.38 and 537.12 is: 741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.78 : 1,320.38 = 537.12 : x
  2. Step 2: Convert to fraction form
    956.78/1,320.38 = 537.12/x
  3. Step 3: Cross multiply
    956.78x = 1,320.38 × 537.12
  4. Step 4: Simplify right side
    956.78x = 709,202.51
  5. Step 5: Solve for x
    x = 709,202.51/956.78
  6. Step 6: Final answer
    x = 741.24

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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.