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Finding the Fourth Proportional to 895.78, 1,235.35 and 769.70

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Solution

The fourth proportional to 895.78, 1,235.35 and 769.70 is: 1,061.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.78 : 1,235.35 = 769.70 : x
  2. Step 2: Convert to fraction form
    895.78/1,235.35 = 769.70/x
  3. Step 3: Cross multiply
    895.78x = 1,235.35 × 769.70
  4. Step 4: Simplify right side
    895.78x = 950,848.90
  5. Step 5: Solve for x
    x = 950,848.90/895.78
  6. Step 6: Final answer
    x = 1,061.48

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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.