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Finding the Fourth Proportional to 1,200.40, 1,656.12 and 905.02

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Solution

The fourth proportional to 1,200.40, 1,656.12 and 905.02 is: 1,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.40 : 1,656.12 = 905.02 : x
  2. Step 2: Convert to fraction form
    1,200.40/1,656.12 = 905.02/x
  3. Step 3: Cross multiply
    1,200.40x = 1,656.12 × 905.02
  4. Step 4: Simplify right side
    1,200.40x = 1,498,821.72
  5. Step 5: Solve for x
    x = 1,498,821.72/1,200.40
  6. Step 6: Final answer
    x = 1,248.60

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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.