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Finding the Fourth Proportional to 1,156.92, 1,596.65 and 714.86

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Solution

The fourth proportional to 1,156.92, 1,596.65 and 714.86 is: 986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.92 : 1,596.65 = 714.86 : x
  2. Step 2: Convert to fraction form
    1,156.92/1,596.65 = 714.86/x
  3. Step 3: Cross multiply
    1,156.92x = 1,596.65 × 714.86
  4. Step 4: Simplify right side
    1,156.92x = 1,141,381.22
  5. Step 5: Solve for x
    x = 1,141,381.22/1,156.92
  6. Step 6: Final answer
    x = 986.57

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1.5x scale

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.