Home / 1,584.90-2,377.34-430.66

Finding the Fourth Proportional to 1,584.90, 2,377.34 and 430.66

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Solution

The fourth proportional to 1,584.90, 2,377.34 and 430.66 is: 645.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.90 : 2,377.34 = 430.66 : x
  2. Step 2: Convert to fraction form
    1,584.90/2,377.34 = 430.66/x
  3. Step 3: Cross multiply
    1,584.90x = 2,377.34 × 430.66
  4. Step 4: Simplify right side
    1,584.90x = 1,023,825.24
  5. Step 5: Solve for x
    x = 1,023,825.24/1,584.90
  6. Step 6: Final answer
    x = 645.99

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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.