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Finding the Fourth Proportional to 1,192.19, 1,646.15 and 820.40

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Solution

The fourth proportional to 1,192.19, 1,646.15 and 820.40 is: 1,132.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.19 : 1,646.15 = 820.40 : x
  2. Step 2: Convert to fraction form
    1,192.19/1,646.15 = 820.40/x
  3. Step 3: Cross multiply
    1,192.19x = 1,646.15 × 820.40
  4. Step 4: Simplify right side
    1,192.19x = 1,350,489.13
  5. Step 5: Solve for x
    x = 1,350,489.13/1,192.19
  6. Step 6: Final answer
    x = 1,132.78

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1.5x scale

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.