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Finding the Fourth Proportional to 895.84, 1,341.42 and 689.92

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Solution

The fourth proportional to 895.84, 1,341.42 and 689.92 is: 1,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.84 : 1,341.42 = 689.92 : x
  2. Step 2: Convert to fraction form
    895.84/1,341.42 = 689.92/x
  3. Step 3: Cross multiply
    895.84x = 1,341.42 × 689.92
  4. Step 4: Simplify right side
    895.84x = 925,472.49
  5. Step 5: Solve for x
    x = 925,472.49/895.84
  6. Step 6: Final answer
    x = 1,033.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.