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Finding the Fourth Proportional to 773.89, 1,158.71 and 499.30

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Solution

The fourth proportional to 773.89, 1,158.71 and 499.30 is: 747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.89 : 1,158.71 = 499.30 : x
  2. Step 2: Convert to fraction form
    773.89/1,158.71 = 499.30/x
  3. Step 3: Cross multiply
    773.89x = 1,158.71 × 499.30
  4. Step 4: Simplify right side
    773.89x = 578,538.51
  5. Step 5: Solve for x
    x = 578,538.51/773.89
  6. Step 6: Final answer
    x = 747.57

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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.