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Finding the Fourth Proportional to 765.48, 1,148.30 and 278.52

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Solution

The fourth proportional to 765.48, 1,148.30 and 278.52 is: 417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.48 : 1,148.30 = 278.52 : x
  2. Step 2: Convert to fraction form
    765.48/1,148.30 = 278.52/x
  3. Step 3: Cross multiply
    765.48x = 1,148.30 × 278.52
  4. Step 4: Simplify right side
    765.48x = 319,823.12
  5. Step 5: Solve for x
    x = 319,823.12/765.48
  6. Step 6: Final answer
    x = 417.81

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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.