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Finding the Fourth Proportional to 853.07, 1,279.60 and 592.30

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Solution

The fourth proportional to 853.07, 1,279.60 and 592.30 is: 888.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.07 : 1,279.60 = 592.30 : x
  2. Step 2: Convert to fraction form
    853.07/1,279.60 = 592.30/x
  3. Step 3: Cross multiply
    853.07x = 1,279.60 × 592.30
  4. Step 4: Simplify right side
    853.07x = 757,907.08
  5. Step 5: Solve for x
    x = 757,907.08/853.07
  6. Step 6: Final answer
    x = 888.45

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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.