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Finding the Fourth Proportional to 1,543.69, 2,315.72 and 503.41

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Solution

The fourth proportional to 1,543.69, 2,315.72 and 503.41 is: 755.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.69 : 2,315.72 = 503.41 : x
  2. Step 2: Convert to fraction form
    1,543.69/2,315.72 = 503.41/x
  3. Step 3: Cross multiply
    1,543.69x = 2,315.72 × 503.41
  4. Step 4: Simplify right side
    1,543.69x = 1,165,754.53
  5. Step 5: Solve for x
    x = 1,165,754.53/1,543.69
  6. Step 6: Final answer
    x = 755.18

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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.