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Finding the Fourth Proportional to 839.04, 1,258.84 and 592.26

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Solution

The fourth proportional to 839.04, 1,258.84 and 592.26 is: 888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.04 : 1,258.84 = 592.26 : x
  2. Step 2: Convert to fraction form
    839.04/1,258.84 = 592.26/x
  3. Step 3: Cross multiply
    839.04x = 1,258.84 × 592.26
  4. Step 4: Simplify right side
    839.04x = 745,560.58
  5. Step 5: Solve for x
    x = 745,560.58/839.04
  6. Step 6: Final answer
    x = 888.59

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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.