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Finding the Fourth Proportional to 1,020.39, 1,409.57 and 909.82

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Solution

The fourth proportional to 1,020.39, 1,409.57 and 909.82 is: 1,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.39 : 1,409.57 = 909.82 : x
  2. Step 2: Convert to fraction form
    1,020.39/1,409.57 = 909.82/x
  3. Step 3: Cross multiply
    1,020.39x = 1,409.57 × 909.82
  4. Step 4: Simplify right side
    1,020.39x = 1,282,454.98
  5. Step 5: Solve for x
    x = 1,282,454.98/1,020.39
  6. Step 6: Final answer
    x = 1,256.83

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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.