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Finding the Fourth Proportional to 705.30, 1,058.21 and 412.92

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Solution

The fourth proportional to 705.30, 1,058.21 and 412.92 is: 619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.30 : 1,058.21 = 412.92 : x
  2. Step 2: Convert to fraction form
    705.30/1,058.21 = 412.92/x
  3. Step 3: Cross multiply
    705.30x = 1,058.21 × 412.92
  4. Step 4: Simplify right side
    705.30x = 436,948.72
  5. Step 5: Solve for x
    x = 436,948.72/705.30
  6. Step 6: Final answer
    x = 619.52

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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.