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Finding the Fourth Proportional to 1,543.99, 2,316.23 and 517.75

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Solution

The fourth proportional to 1,543.99, 2,316.23 and 517.75 is: 776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.99 : 2,316.23 = 517.75 : x
  2. Step 2: Convert to fraction form
    1,543.99/2,316.23 = 517.75/x
  3. Step 3: Cross multiply
    1,543.99x = 2,316.23 × 517.75
  4. Step 4: Simplify right side
    1,543.99x = 1,199,228.08
  5. Step 5: Solve for x
    x = 1,199,228.08/1,543.99
  6. Step 6: Final answer
    x = 776.71

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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.