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Finding the Fourth Proportional to 1,179.36, 1,762.20 and 869.04

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Solution

The fourth proportional to 1,179.36, 1,762.20 and 869.04 is: 1,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.36 : 1,762.20 = 869.04 : x
  2. Step 2: Convert to fraction form
    1,179.36/1,762.20 = 869.04/x
  3. Step 3: Cross multiply
    1,179.36x = 1,762.20 × 869.04
  4. Step 4: Simplify right side
    1,179.36x = 1,531,422.29
  5. Step 5: Solve for x
    x = 1,531,422.29/1,179.36
  6. Step 6: Final answer
    x = 1,298.52

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1.5x scale

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.