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Finding the Fourth Proportional to 1,784.61, 2,462.63 and 998.55

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Solution

The fourth proportional to 1,784.61, 2,462.63 and 998.55 is: 1,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.61 : 2,462.63 = 998.55 : x
  2. Step 2: Convert to fraction form
    1,784.61/2,462.63 = 998.55/x
  3. Step 3: Cross multiply
    1,784.61x = 2,462.63 × 998.55
  4. Step 4: Simplify right side
    1,784.61x = 2,459,054.19
  5. Step 5: Solve for x
    x = 2,459,054.19/1,784.61
  6. Step 6: Final answer
    x = 1,377.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.