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Finding the Fourth Proportional to 2,319.38, 3,479.27 and 588

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Solution

The fourth proportional to 2,319.38, 3,479.27 and 588 is: 882.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.38 : 3,479.27 = 588 : x
  2. Step 2: Convert to fraction form
    2,319.38/3,479.27 = 588/x
  3. Step 3: Cross multiply
    2,319.38x = 3,479.27 × 588
  4. Step 4: Simplify right side
    2,319.38x = 2,045,807.82
  5. Step 5: Solve for x
    x = 2,045,807.82/2,319.38
  6. Step 6: Final answer
    x = 882.05

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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.