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Finding the Fourth Proportional to 1,156.05, 1,734.66 and 578.88

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Solution

The fourth proportional to 1,156.05, 1,734.66 and 578.88 is: 868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.05 : 1,734.66 = 578.88 : x
  2. Step 2: Convert to fraction form
    1,156.05/1,734.66 = 578.88/x
  3. Step 3: Cross multiply
    1,156.05x = 1,734.66 × 578.88
  4. Step 4: Simplify right side
    1,156.05x = 1,004,148.41
  5. Step 5: Solve for x
    x = 1,004,148.41/1,156.05
  6. Step 6: Final answer
    x = 868.61

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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.