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Finding the Fourth Proportional to 853.24, 1,279.50 and 420.28

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Solution

The fourth proportional to 853.24, 1,279.50 and 420.28 is: 630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.24 : 1,279.50 = 420.28 : x
  2. Step 2: Convert to fraction form
    853.24/1,279.50 = 420.28/x
  3. Step 3: Cross multiply
    853.24x = 1,279.50 × 420.28
  4. Step 4: Simplify right side
    853.24x = 537,748.26
  5. Step 5: Solve for x
    x = 537,748.26/853.24
  6. Step 6: Final answer
    x = 630.24

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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.