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Finding the Fourth Proportional to 1,703.71, 2,555.02 and 549.19

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Solution

The fourth proportional to 1,703.71, 2,555.02 and 549.19 is: 823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.71 : 2,555.02 = 549.19 : x
  2. Step 2: Convert to fraction form
    1,703.71/2,555.02 = 549.19/x
  3. Step 3: Cross multiply
    1,703.71x = 2,555.02 × 549.19
  4. Step 4: Simplify right side
    1,703.71x = 1,403,183.67
  5. Step 5: Solve for x
    x = 1,403,183.67/1,703.71
  6. Step 6: Final answer
    x = 823.61

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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.