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Finding the Fourth Proportional to 705.66, 1,058.78 and 358.82

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Solution

The fourth proportional to 705.66, 1,058.78 and 358.82 is: 538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.66 : 1,058.78 = 358.82 : x
  2. Step 2: Convert to fraction form
    705.66/1,058.78 = 358.82/x
  3. Step 3: Cross multiply
    705.66x = 1,058.78 × 358.82
  4. Step 4: Simplify right side
    705.66x = 379,911.44
  5. Step 5: Solve for x
    x = 379,911.44/705.66
  6. Step 6: Final answer
    x = 538.38

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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.