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Finding the Fourth Proportional to 1,699.94, 2,549.92 and 545.69

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Solution

The fourth proportional to 1,699.94, 2,549.92 and 545.69 is: 818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.94 : 2,549.92 = 545.69 : x
  2. Step 2: Convert to fraction form
    1,699.94/2,549.92 = 545.69/x
  3. Step 3: Cross multiply
    1,699.94x = 2,549.92 × 545.69
  4. Step 4: Simplify right side
    1,699.94x = 1,391,465.84
  5. Step 5: Solve for x
    x = 1,391,465.84/1,699.94
  6. Step 6: Final answer
    x = 818.54

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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.