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Finding the Fourth Proportional to 900.74, 1,240.17 and 814.34

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Solution

The fourth proportional to 900.74, 1,240.17 and 814.34 is: 1,121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.74 : 1,240.17 = 814.34 : x
  2. Step 2: Convert to fraction form
    900.74/1,240.17 = 814.34/x
  3. Step 3: Cross multiply
    900.74x = 1,240.17 × 814.34
  4. Step 4: Simplify right side
    900.74x = 1,009,920.04
  5. Step 5: Solve for x
    x = 1,009,920.04/900.74
  6. Step 6: Final answer
    x = 1,121.21

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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.