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Finding the Fourth Proportional to 1,198.02, 1,652.76 and 732

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Solution

The fourth proportional to 1,198.02, 1,652.76 and 732 is: 1,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.02 : 1,652.76 = 732 : x
  2. Step 2: Convert to fraction form
    1,198.02/1,652.76 = 732/x
  3. Step 3: Cross multiply
    1,198.02x = 1,652.76 × 732
  4. Step 4: Simplify right side
    1,198.02x = 1,209,820.32
  5. Step 5: Solve for x
    x = 1,209,820.32/1,198.02
  6. Step 6: Final answer
    x = 1,009.85

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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.