Home / 1,585.04-2,377.28-430.48

Finding the Fourth Proportional to 1,585.04, 2,377.28 and 430.48

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Solution

The fourth proportional to 1,585.04, 2,377.28 and 430.48 is: 645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.04 : 2,377.28 = 430.48 : x
  2. Step 2: Convert to fraction form
    1,585.04/2,377.28 = 430.48/x
  3. Step 3: Cross multiply
    1,585.04x = 2,377.28 × 430.48
  4. Step 4: Simplify right side
    1,585.04x = 1,023,371.49
  5. Step 5: Solve for x
    x = 1,023,371.49/1,585.04
  6. Step 6: Final answer
    x = 645.64

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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.