Home / 1,585.08-2,377.20-430.56

Finding the Fourth Proportional to 1,585.08, 2,377.20 and 430.56

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Solution

The fourth proportional to 1,585.08, 2,377.20 and 430.56 is: 645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.08 : 2,377.20 = 430.56 : x
  2. Step 2: Convert to fraction form
    1,585.08/2,377.20 = 430.56/x
  3. Step 3: Cross multiply
    1,585.08x = 2,377.20 × 430.56
  4. Step 4: Simplify right side
    1,585.08x = 1,023,527.23
  5. Step 5: Solve for x
    x = 1,023,527.23/1,585.08
  6. Step 6: Final answer
    x = 645.73

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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.