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Finding the Fourth Proportional to 460.83, 691.52 and 278.58

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Solution

The fourth proportional to 460.83, 691.52 and 278.58 is: 418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.83 : 691.52 = 278.58 : x
  2. Step 2: Convert to fraction form
    460.83/691.52 = 278.58/x
  3. Step 3: Cross multiply
    460.83x = 691.52 × 278.58
  4. Step 4: Simplify right side
    460.83x = 192,642.25
  5. Step 5: Solve for x
    x = 192,642.25/460.83
  6. Step 6: Final answer
    x = 418.03

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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.