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Finding the Fourth Proportional to 707.09, 1,060.42 and 268.01

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Solution

The fourth proportional to 707.09, 1,060.42 and 268.01 is: 401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.09 : 1,060.42 = 268.01 : x
  2. Step 2: Convert to fraction form
    707.09/1,060.42 = 268.01/x
  3. Step 3: Cross multiply
    707.09x = 1,060.42 × 268.01
  4. Step 4: Simplify right side
    707.09x = 284,203.16
  5. Step 5: Solve for x
    x = 284,203.16/707.09
  6. Step 6: Final answer
    x = 401.93

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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.