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Finding the Fourth Proportional to 2,265.76, 3,398.46 and 705.70

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Solution

The fourth proportional to 2,265.76, 3,398.46 and 705.70 is: 1,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.76 : 3,398.46 = 705.70 : x
  2. Step 2: Convert to fraction form
    2,265.76/3,398.46 = 705.70/x
  3. Step 3: Cross multiply
    2,265.76x = 3,398.46 × 705.70
  4. Step 4: Simplify right side
    2,265.76x = 2,398,293.22
  5. Step 5: Solve for x
    x = 2,398,293.22/2,265.76
  6. Step 6: Final answer
    x = 1,058.49

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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.