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Finding the Fourth Proportional to 688.67, 1,025.36 and 678.95

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Solution

The fourth proportional to 688.67, 1,025.36 and 678.95 is: 1,010.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.67 : 1,025.36 = 678.95 : x
  2. Step 2: Convert to fraction form
    688.67/1,025.36 = 678.95/x
  3. Step 3: Cross multiply
    688.67x = 1,025.36 × 678.95
  4. Step 4: Simplify right side
    688.67x = 696,166.04
  5. Step 5: Solve for x
    x = 696,166.04/688.67
  6. Step 6: Final answer
    x = 1,010.89

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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.