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Finding the Fourth Proportional to 1,584.85, 2,378.24 and 719.17

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Solution

The fourth proportional to 1,584.85, 2,378.24 and 719.17 is: 1,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.85 : 2,378.24 = 719.17 : x
  2. Step 2: Convert to fraction form
    1,584.85/2,378.24 = 719.17/x
  3. Step 3: Cross multiply
    1,584.85x = 2,378.24 × 719.17
  4. Step 4: Simplify right side
    1,584.85x = 1,710,358.86
  5. Step 5: Solve for x
    x = 1,710,358.86/1,584.85
  6. Step 6: Final answer
    x = 1,079.19

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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.