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Finding the Fourth Proportional to 956.47, 1,436.24 and 854.98

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Solution

The fourth proportional to 956.47, 1,436.24 and 854.98 is: 1,283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.47 : 1,436.24 = 854.98 : x
  2. Step 2: Convert to fraction form
    956.47/1,436.24 = 854.98/x
  3. Step 3: Cross multiply
    956.47x = 1,436.24 × 854.98
  4. Step 4: Simplify right side
    956.47x = 1,227,960.26
  5. Step 5: Solve for x
    x = 1,227,960.26/956.47
  6. Step 6: Final answer
    x = 1,283.85

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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.