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Finding the Fourth Proportional to 767.56, 1,149.18 and 584.20

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Solution

The fourth proportional to 767.56, 1,149.18 and 584.20 is: 874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.56 : 1,149.18 = 584.20 : x
  2. Step 2: Convert to fraction form
    767.56/1,149.18 = 584.20/x
  3. Step 3: Cross multiply
    767.56x = 1,149.18 × 584.20
  4. Step 4: Simplify right side
    767.56x = 671,350.96
  5. Step 5: Solve for x
    x = 671,350.96/767.56
  6. Step 6: Final answer
    x = 874.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.