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Finding the Fourth Proportional to 1,098.64, 1,646.59 and 785.82

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Solution

The fourth proportional to 1,098.64, 1,646.59 and 785.82 is: 1,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.64 : 1,646.59 = 785.82 : x
  2. Step 2: Convert to fraction form
    1,098.64/1,646.59 = 785.82/x
  3. Step 3: Cross multiply
    1,098.64x = 1,646.59 × 785.82
  4. Step 4: Simplify right side
    1,098.64x = 1,293,923.35
  5. Step 5: Solve for x
    x = 1,293,923.35/1,098.64
  6. Step 6: Final answer
    x = 1,177.75

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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.