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Finding the Fourth Proportional to 972.78, 1,341.68 and 902.32

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Solution

The fourth proportional to 972.78, 1,341.68 and 902.32 is: 1,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.78 : 1,341.68 = 902.32 : x
  2. Step 2: Convert to fraction form
    972.78/1,341.68 = 902.32/x
  3. Step 3: Cross multiply
    972.78x = 1,341.68 × 902.32
  4. Step 4: Simplify right side
    972.78x = 1,210,624.70
  5. Step 5: Solve for x
    x = 1,210,624.70/972.78
  6. Step 6: Final answer
    x = 1,244.50

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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.