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Finding the Fourth Proportional to 1,072.66, 1,609 and 588.78

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Solution

The fourth proportional to 1,072.66, 1,609 and 588.78 is: 883.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.66 : 1,609 = 588.78 : x
  2. Step 2: Convert to fraction form
    1,072.66/1,609 = 588.78/x
  3. Step 3: Cross multiply
    1,072.66x = 1,609 × 588.78
  4. Step 4: Simplify right side
    1,072.66x = 947,347.02
  5. Step 5: Solve for x
    x = 947,347.02/1,072.66
  6. Step 6: Final answer
    x = 883.18

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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.