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Finding the Fourth Proportional to 972.05, 1,341.83 and 762.80

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Solution

The fourth proportional to 972.05, 1,341.83 and 762.80 is: 1,052.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.05 : 1,341.83 = 762.80 : x
  2. Step 2: Convert to fraction form
    972.05/1,341.83 = 762.80/x
  3. Step 3: Cross multiply
    972.05x = 1,341.83 × 762.80
  4. Step 4: Simplify right side
    972.05x = 1,023,543.12
  5. Step 5: Solve for x
    x = 1,023,543.12/972.05
  6. Step 6: Final answer
    x = 1,052.98

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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.