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Finding the Fourth Proportional to 772.84, 1,158.44 and 499.12

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Solution

The fourth proportional to 772.84, 1,158.44 and 499.12 is: 748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.84 : 1,158.44 = 499.12 : x
  2. Step 2: Convert to fraction form
    772.84/1,158.44 = 499.12/x
  3. Step 3: Cross multiply
    772.84x = 1,158.44 × 499.12
  4. Step 4: Simplify right side
    772.84x = 578,200.57
  5. Step 5: Solve for x
    x = 578,200.57/772.84
  6. Step 6: Final answer
    x = 748.15

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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.