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Finding the Fourth Proportional to 969.42, 1,337.78 and 576.42

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Solution

The fourth proportional to 969.42, 1,337.78 and 576.42 is: 795.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.42 : 1,337.78 = 576.42 : x
  2. Step 2: Convert to fraction form
    969.42/1,337.78 = 576.42/x
  3. Step 3: Cross multiply
    969.42x = 1,337.78 × 576.42
  4. Step 4: Simplify right side
    969.42x = 771,123.15
  5. Step 5: Solve for x
    x = 771,123.15/969.42
  6. Step 6: Final answer
    x = 795.45

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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.