Home / 1,584.95-2,377.41-430.70

Finding the Fourth Proportional to 1,584.95, 2,377.41 and 430.70

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Solution

The fourth proportional to 1,584.95, 2,377.41 and 430.70 is: 646.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.95 : 2,377.41 = 430.70 : x
  2. Step 2: Convert to fraction form
    1,584.95/2,377.41 = 430.70/x
  3. Step 3: Cross multiply
    1,584.95x = 2,377.41 × 430.70
  4. Step 4: Simplify right side
    1,584.95x = 1,023,938.60
  5. Step 5: Solve for x
    x = 1,023,938.60/1,584.95
  6. Step 6: Final answer
    x = 646.04

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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.