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Finding the Fourth Proportional to 1,188.30, 1,775.04 and 880.76

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Solution

The fourth proportional to 1,188.30, 1,775.04 and 880.76 is: 1,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.30 : 1,775.04 = 880.76 : x
  2. Step 2: Convert to fraction form
    1,188.30/1,775.04 = 880.76/x
  3. Step 3: Cross multiply
    1,188.30x = 1,775.04 × 880.76
  4. Step 4: Simplify right side
    1,188.30x = 1,563,375.36
  5. Step 5: Solve for x
    x = 1,563,375.36/1,188.30
  6. Step 6: Final answer
    x = 1,315.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.