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Finding the Fourth Proportional to 705.11, 1,058.35 and 431.74

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Solution

The fourth proportional to 705.11, 1,058.35 and 431.74 is: 648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.11 : 1,058.35 = 431.74 : x
  2. Step 2: Convert to fraction form
    705.11/1,058.35 = 431.74/x
  3. Step 3: Cross multiply
    705.11x = 1,058.35 × 431.74
  4. Step 4: Simplify right side
    705.11x = 456,926.74
  5. Step 5: Solve for x
    x = 456,926.74/705.11
  6. Step 6: Final answer
    x = 648.02

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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.