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Finding the Fourth Proportional to 895.79, 1,344.21 and 382.79

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Solution

The fourth proportional to 895.79, 1,344.21 and 382.79 is: 574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.79 : 1,344.21 = 382.79 : x
  2. Step 2: Convert to fraction form
    895.79/1,344.21 = 382.79/x
  3. Step 3: Cross multiply
    895.79x = 1,344.21 × 382.79
  4. Step 4: Simplify right side
    895.79x = 514,543.42
  5. Step 5: Solve for x
    x = 514,543.42/895.79
  6. Step 6: Final answer
    x = 574.41

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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.