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Finding the Fourth Proportional to 1,156.71, 1,596.17 and 714.45

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Solution

The fourth proportional to 1,156.71, 1,596.17 and 714.45 is: 985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.71 : 1,596.17 = 714.45 : x
  2. Step 2: Convert to fraction form
    1,156.71/1,596.17 = 714.45/x
  3. Step 3: Cross multiply
    1,156.71x = 1,596.17 × 714.45
  4. Step 4: Simplify right side
    1,156.71x = 1,140,374.95
  5. Step 5: Solve for x
    x = 1,140,374.95/1,156.71
  6. Step 6: Final answer
    x = 985.88

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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.