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Finding the Fourth Proportional to 1,359.76, 1,871.58 and 966.10

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Solution

The fourth proportional to 1,359.76, 1,871.58 and 966.10 is: 1,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.76 : 1,871.58 = 966.10 : x
  2. Step 2: Convert to fraction form
    1,359.76/1,871.58 = 966.10/x
  3. Step 3: Cross multiply
    1,359.76x = 1,871.58 × 966.10
  4. Step 4: Simplify right side
    1,359.76x = 1,808,133.44
  5. Step 5: Solve for x
    x = 1,808,133.44/1,359.76
  6. Step 6: Final answer
    x = 1,329.74

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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.