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Finding the Fourth Proportional to 972.25, 1,456.04 and 532.84

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Solution

The fourth proportional to 972.25, 1,456.04 and 532.84 is: 797.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.25 : 1,456.04 = 532.84 : x
  2. Step 2: Convert to fraction form
    972.25/1,456.04 = 532.84/x
  3. Step 3: Cross multiply
    972.25x = 1,456.04 × 532.84
  4. Step 4: Simplify right side
    972.25x = 775,830.05
  5. Step 5: Solve for x
    x = 775,830.05/972.25
  6. Step 6: Final answer
    x = 797.98

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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.