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Finding the Fourth Proportional to 1,043.64, 1,439.76 and 689.11

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Solution

The fourth proportional to 1,043.64, 1,439.76 and 689.11 is: 950.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.64 : 1,439.76 = 689.11 : x
  2. Step 2: Convert to fraction form
    1,043.64/1,439.76 = 689.11/x
  3. Step 3: Cross multiply
    1,043.64x = 1,439.76 × 689.11
  4. Step 4: Simplify right side
    1,043.64x = 992,153.01
  5. Step 5: Solve for x
    x = 992,153.01/1,043.64
  6. Step 6: Final answer
    x = 950.67

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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.