Home / 1,584.78-2,377.16-430.53

Finding the Fourth Proportional to 1,584.78, 2,377.16 and 430.53

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Solution

The fourth proportional to 1,584.78, 2,377.16 and 430.53 is: 645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.78 : 2,377.16 = 430.53 : x
  2. Step 2: Convert to fraction form
    1,584.78/2,377.16 = 430.53/x
  3. Step 3: Cross multiply
    1,584.78x = 2,377.16 × 430.53
  4. Step 4: Simplify right side
    1,584.78x = 1,023,431.68
  5. Step 5: Solve for x
    x = 1,023,431.68/1,584.78
  6. Step 6: Final answer
    x = 645.79

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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.