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Finding the Fourth Proportional to 972.31, 1,458.69 and 278.99

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Solution

The fourth proportional to 972.31, 1,458.69 and 278.99 is: 418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.31 : 1,458.69 = 278.99 : x
  2. Step 2: Convert to fraction form
    972.31/1,458.69 = 278.99/x
  3. Step 3: Cross multiply
    972.31x = 1,458.69 × 278.99
  4. Step 4: Simplify right side
    972.31x = 406,959.92
  5. Step 5: Solve for x
    x = 406,959.92/972.31
  6. Step 6: Final answer
    x = 418.55

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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.