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Finding the Fourth Proportional to 853.88, 1,281.54 and 341.24

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Solution

The fourth proportional to 853.88, 1,281.54 and 341.24 is: 512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.88 : 1,281.54 = 341.24 : x
  2. Step 2: Convert to fraction form
    853.88/1,281.54 = 341.24/x
  3. Step 3: Cross multiply
    853.88x = 1,281.54 × 341.24
  4. Step 4: Simplify right side
    853.88x = 437,312.71
  5. Step 5: Solve for x
    x = 437,312.71/853.88
  6. Step 6: Final answer
    x = 512.15

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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.