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Finding the Fourth Proportional to 765.16, 1,147.29 and 278.05

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Solution

The fourth proportional to 765.16, 1,147.29 and 278.05 is: 416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.16 : 1,147.29 = 278.05 : x
  2. Step 2: Convert to fraction form
    765.16/1,147.29 = 278.05/x
  3. Step 3: Cross multiply
    765.16x = 1,147.29 × 278.05
  4. Step 4: Simplify right side
    765.16x = 319,002.59
  5. Step 5: Solve for x
    x = 319,002.59/765.16
  6. Step 6: Final answer
    x = 416.91

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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.