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Finding the Fourth Proportional to 705.79, 1,058.55 and 243.87

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Solution

The fourth proportional to 705.79, 1,058.55 and 243.87 is: 365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.79 : 1,058.55 = 243.87 : x
  2. Step 2: Convert to fraction form
    705.79/1,058.55 = 243.87/x
  3. Step 3: Cross multiply
    705.79x = 1,058.55 × 243.87
  4. Step 4: Simplify right side
    705.79x = 258,148.59
  5. Step 5: Solve for x
    x = 258,148.59/705.79
  6. Step 6: Final answer
    x = 365.76

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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.