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Finding the Fourth Proportional to 839.67, 1,258.58 and 717.56

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Solution

The fourth proportional to 839.67, 1,258.58 and 717.56 is: 1,075.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.67 : 1,258.58 = 717.56 : x
  2. Step 2: Convert to fraction form
    839.67/1,258.58 = 717.56/x
  3. Step 3: Cross multiply
    839.67x = 1,258.58 × 717.56
  4. Step 4: Simplify right side
    839.67x = 903,106.66
  5. Step 5: Solve for x
    x = 903,106.66/839.67
  6. Step 6: Final answer
    x = 1,075.55

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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.