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Finding the Fourth Proportional to 1,188.08, 1,639.65 and 690.90

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Solution

The fourth proportional to 1,188.08, 1,639.65 and 690.90 is: 953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.08 : 1,639.65 = 690.90 : x
  2. Step 2: Convert to fraction form
    1,188.08/1,639.65 = 690.90/x
  3. Step 3: Cross multiply
    1,188.08x = 1,639.65 × 690.90
  4. Step 4: Simplify right side
    1,188.08x = 1,132,834.19
  5. Step 5: Solve for x
    x = 1,132,834.19/1,188.08
  6. Step 6: Final answer
    x = 953.50

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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.