Home / 1,021.80-1,533.34-934.76

Finding the Fourth Proportional to 1,021.80, 1,533.34 and 934.76

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Solution

The fourth proportional to 1,021.80, 1,533.34 and 934.76 is: 1,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.80 : 1,533.34 = 934.76 : x
  2. Step 2: Convert to fraction form
    1,021.80/1,533.34 = 934.76/x
  3. Step 3: Cross multiply
    1,021.80x = 1,533.34 × 934.76
  4. Step 4: Simplify right side
    1,021.80x = 1,433,304.90
  5. Step 5: Solve for x
    x = 1,433,304.90/1,021.80
  6. Step 6: Final answer
    x = 1,402.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.