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Finding the Fourth Proportional to 705.46, 1,058.06 and 266.75

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Solution

The fourth proportional to 705.46, 1,058.06 and 266.75 is: 400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.46 : 1,058.06 = 266.75 : x
  2. Step 2: Convert to fraction form
    705.46/1,058.06 = 266.75/x
  3. Step 3: Cross multiply
    705.46x = 1,058.06 × 266.75
  4. Step 4: Simplify right side
    705.46x = 282,237.51
  5. Step 5: Solve for x
    x = 282,237.51/705.46
  6. Step 6: Final answer
    x = 400.08

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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.