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Finding the Fourth Proportional to 774.15, 1,158.95 and 499.43

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Solution

The fourth proportional to 774.15, 1,158.95 and 499.43 is: 747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.15 : 1,158.95 = 499.43 : x
  2. Step 2: Convert to fraction form
    774.15/1,158.95 = 499.43/x
  3. Step 3: Cross multiply
    774.15x = 1,158.95 × 499.43
  4. Step 4: Simplify right side
    774.15x = 578,814.40
  5. Step 5: Solve for x
    x = 578,814.40/774.15
  6. Step 6: Final answer
    x = 747.68

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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.