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Finding the Fourth Proportional to 2,319.79, 3,479.69 and 588.41

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Solution

The fourth proportional to 2,319.79, 3,479.69 and 588.41 is: 882.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.79 : 3,479.69 = 588.41 : x
  2. Step 2: Convert to fraction form
    2,319.79/3,479.69 = 588.41/x
  3. Step 3: Cross multiply
    2,319.79x = 3,479.69 × 588.41
  4. Step 4: Simplify right side
    2,319.79x = 2,047,484.39
  5. Step 5: Solve for x
    x = 2,047,484.39/2,319.79
  6. Step 6: Final answer
    x = 882.62

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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.