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Finding the Fourth Proportional to 691.95, 1,030.24 and 682.26

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Solution

The fourth proportional to 691.95, 1,030.24 and 682.26 is: 1,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.95 : 1,030.24 = 682.26 : x
  2. Step 2: Convert to fraction form
    691.95/1,030.24 = 682.26/x
  3. Step 3: Cross multiply
    691.95x = 1,030.24 × 682.26
  4. Step 4: Simplify right side
    691.95x = 702,889.84
  5. Step 5: Solve for x
    x = 702,889.84/691.95
  6. Step 6: Final answer
    x = 1,015.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.