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Finding the Fourth Proportional to 1,155.84, 1,734.35 and 636.25

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Solution

The fourth proportional to 1,155.84, 1,734.35 and 636.25 is: 954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.84 : 1,734.35 = 636.25 : x
  2. Step 2: Convert to fraction form
    1,155.84/1,734.35 = 636.25/x
  3. Step 3: Cross multiply
    1,155.84x = 1,734.35 × 636.25
  4. Step 4: Simplify right side
    1,155.84x = 1,103,480.19
  5. Step 5: Solve for x
    x = 1,103,480.19/1,155.84
  6. Step 6: Final answer
    x = 954.70

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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.