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Finding the Fourth Proportional to 705.20, 1,058.99 and 461.59

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Solution

The fourth proportional to 705.20, 1,058.99 and 461.59 is: 693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.20 : 1,058.99 = 461.59 : x
  2. Step 2: Convert to fraction form
    705.20/1,058.99 = 461.59/x
  3. Step 3: Cross multiply
    705.20x = 1,058.99 × 461.59
  4. Step 4: Simplify right side
    705.20x = 488,814.24
  5. Step 5: Solve for x
    x = 488,814.24/705.20
  6. Step 6: Final answer
    x = 693.16

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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.