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Finding the Fourth Proportional to 1,195.55, 1,650.95 and 900.30

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Solution

The fourth proportional to 1,195.55, 1,650.95 and 900.30 is: 1,243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.55 : 1,650.95 = 900.30 : x
  2. Step 2: Convert to fraction form
    1,195.55/1,650.95 = 900.30/x
  3. Step 3: Cross multiply
    1,195.55x = 1,650.95 × 900.30
  4. Step 4: Simplify right side
    1,195.55x = 1,486,350.29
  5. Step 5: Solve for x
    x = 1,486,350.29/1,195.55
  6. Step 6: Final answer
    x = 1,243.24

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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.