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Finding the Fourth Proportional to 1,011.80, 1,395.78 and 680.24

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Solution

The fourth proportional to 1,011.80, 1,395.78 and 680.24 is: 938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.80 : 1,395.78 = 680.24 : x
  2. Step 2: Convert to fraction form
    1,011.80/1,395.78 = 680.24/x
  3. Step 3: Cross multiply
    1,011.80x = 1,395.78 × 680.24
  4. Step 4: Simplify right side
    1,011.80x = 949,465.39
  5. Step 5: Solve for x
    x = 949,465.39/1,011.80
  6. Step 6: Final answer
    x = 938.39

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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.