Home / 1,543.38-2,315.28-619.04

Finding the Fourth Proportional to 1,543.38, 2,315.28 and 619.04

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Solution

The fourth proportional to 1,543.38, 2,315.28 and 619.04 is: 928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.38 : 2,315.28 = 619.04 : x
  2. Step 2: Convert to fraction form
    1,543.38/2,315.28 = 619.04/x
  3. Step 3: Cross multiply
    1,543.38x = 2,315.28 × 619.04
  4. Step 4: Simplify right side
    1,543.38x = 1,433,239.35
  5. Step 5: Solve for x
    x = 1,433,239.35/1,543.38
  6. Step 6: Final answer
    x = 928.64

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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.