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Finding the Fourth Proportional to 1,543.50, 2,315.61 and 517.50

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Solution

The fourth proportional to 1,543.50, 2,315.61 and 517.50 is: 776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.50 : 2,315.61 = 517.50 : x
  2. Step 2: Convert to fraction form
    1,543.50/2,315.61 = 517.50/x
  3. Step 3: Cross multiply
    1,543.50x = 2,315.61 × 517.50
  4. Step 4: Simplify right side
    1,543.50x = 1,198,328.18
  5. Step 5: Solve for x
    x = 1,198,328.18/1,543.50
  6. Step 6: Final answer
    x = 776.37

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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.