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Finding the Fourth Proportional to 872.51, 1,205.05 and 592.26

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Solution

The fourth proportional to 872.51, 1,205.05 and 592.26 is: 817.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.51 : 1,205.05 = 592.26 : x
  2. Step 2: Convert to fraction form
    872.51/1,205.05 = 592.26/x
  3. Step 3: Cross multiply
    872.51x = 1,205.05 × 592.26
  4. Step 4: Simplify right side
    872.51x = 713,706.02
  5. Step 5: Solve for x
    x = 713,706.02/872.51
  6. Step 6: Final answer
    x = 817.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.