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Finding the Fourth Proportional to 972.15, 1,342.14 and 599.62

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Solution

The fourth proportional to 972.15, 1,342.14 and 599.62 is: 827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.15 : 1,342.14 = 599.62 : x
  2. Step 2: Convert to fraction form
    972.15/1,342.14 = 599.62/x
  3. Step 3: Cross multiply
    972.15x = 1,342.14 × 599.62
  4. Step 4: Simplify right side
    972.15x = 804,773.99
  5. Step 5: Solve for x
    x = 804,773.99/972.15
  6. Step 6: Final answer
    x = 827.83

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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.