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Finding the Fourth Proportional to 972.98, 1,342.38 and 594.73

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Solution

The fourth proportional to 972.98, 1,342.38 and 594.73 is: 820.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.98 : 1,342.38 = 594.73 : x
  2. Step 2: Convert to fraction form
    972.98/1,342.38 = 594.73/x
  3. Step 3: Cross multiply
    972.98x = 1,342.38 × 594.73
  4. Step 4: Simplify right side
    972.98x = 798,353.66
  5. Step 5: Solve for x
    x = 798,353.66/972.98
  6. Step 6: Final answer
    x = 820.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.