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Finding the Fourth Proportional to 1,157.28, 1,596.27 and 714.61

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Solution

The fourth proportional to 1,157.28, 1,596.27 and 714.61 is: 985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.28 : 1,596.27 = 714.61 : x
  2. Step 2: Convert to fraction form
    1,157.28/1,596.27 = 714.61/x
  3. Step 3: Cross multiply
    1,157.28x = 1,596.27 × 714.61
  4. Step 4: Simplify right side
    1,157.28x = 1,140,710.50
  5. Step 5: Solve for x
    x = 1,140,710.50/1,157.28
  6. Step 6: Final answer
    x = 985.68

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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.