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Finding the Fourth Proportional to 1,080.65, 1,490.33 and 686.99

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Solution

The fourth proportional to 1,080.65, 1,490.33 and 686.99 is: 947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.65 : 1,490.33 = 686.99 : x
  2. Step 2: Convert to fraction form
    1,080.65/1,490.33 = 686.99/x
  3. Step 3: Cross multiply
    1,080.65x = 1,490.33 × 686.99
  4. Step 4: Simplify right side
    1,080.65x = 1,023,838.37
  5. Step 5: Solve for x
    x = 1,023,838.37/1,080.65
  6. Step 6: Final answer
    x = 947.43

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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.