Home / 1,584.74-2,377.10-430.49

Finding the Fourth Proportional to 1,584.74, 2,377.10 and 430.49

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Solution

The fourth proportional to 1,584.74, 2,377.10 and 430.49 is: 645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.74 : 2,377.10 = 430.49 : x
  2. Step 2: Convert to fraction form
    1,584.74/2,377.10 = 430.49/x
  3. Step 3: Cross multiply
    1,584.74x = 2,377.10 × 430.49
  4. Step 4: Simplify right side
    1,584.74x = 1,023,305.89
  5. Step 5: Solve for x
    x = 1,023,305.89/1,584.74
  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.