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Finding the Fourth Proportional to 701.13, 1,051.70 and 268.59

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Solution

The fourth proportional to 701.13, 1,051.70 and 268.59 is: 402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.13 : 1,051.70 = 268.59 : x
  2. Step 2: Convert to fraction form
    701.13/1,051.70 = 268.59/x
  3. Step 3: Cross multiply
    701.13x = 1,051.70 × 268.59
  4. Step 4: Simplify right side
    701.13x = 282,476.10
  5. Step 5: Solve for x
    x = 282,476.10/701.13
  6. Step 6: Final answer
    x = 402.89

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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.