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Finding the Fourth Proportional to 895.90, 1,344 and 279.46

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Solution

The fourth proportional to 895.90, 1,344 and 279.46 is: 419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.90 : 1,344 = 279.46 : x
  2. Step 2: Convert to fraction form
    895.90/1,344 = 279.46/x
  3. Step 3: Cross multiply
    895.90x = 1,344 × 279.46
  4. Step 4: Simplify right side
    895.90x = 375,594.24
  5. Step 5: Solve for x
    x = 375,594.24/895.90
  6. Step 6: Final answer
    x = 419.24

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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.