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Finding the Fourth Proportional to 969.30, 1,337.78 and 570.87

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Solution

The fourth proportional to 969.30, 1,337.78 and 570.87 is: 787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.30 : 1,337.78 = 570.87 : x
  2. Step 2: Convert to fraction form
    969.30/1,337.78 = 570.87/x
  3. Step 3: Cross multiply
    969.30x = 1,337.78 × 570.87
  4. Step 4: Simplify right side
    969.30x = 763,699.90
  5. Step 5: Solve for x
    x = 763,699.90/969.30
  6. Step 6: Final answer
    x = 787.89

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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.