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Finding the Fourth Proportional to 1,285.69, 1,774.22 and 726.14

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Solution

The fourth proportional to 1,285.69, 1,774.22 and 726.14 is: 1,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.69 : 1,774.22 = 726.14 : x
  2. Step 2: Convert to fraction form
    1,285.69/1,774.22 = 726.14/x
  3. Step 3: Cross multiply
    1,285.69x = 1,774.22 × 726.14
  4. Step 4: Simplify right side
    1,285.69x = 1,288,332.11
  5. Step 5: Solve for x
    x = 1,288,332.11/1,285.69
  6. Step 6: Final answer
    x = 1,002.06

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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.