Home / 1,585.32-2,378.76-719.40

Finding the Fourth Proportional to 1,585.32, 2,378.76 and 719.40

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Solution

The fourth proportional to 1,585.32, 2,378.76 and 719.40 is: 1,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.32 : 2,378.76 = 719.40 : x
  2. Step 2: Convert to fraction form
    1,585.32/2,378.76 = 719.40/x
  3. Step 3: Cross multiply
    1,585.32x = 2,378.76 × 719.40
  4. Step 4: Simplify right side
    1,585.32x = 1,711,279.94
  5. Step 5: Solve for x
    x = 1,711,279.94/1,585.32
  6. Step 6: Final answer
    x = 1,079.45

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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.