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Finding the Fourth Proportional to 688.84, 1,035.06 and 645.10

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Solution

The fourth proportional to 688.84, 1,035.06 and 645.10 is: 969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.84 : 1,035.06 = 645.10 : x
  2. Step 2: Convert to fraction form
    688.84/1,035.06 = 645.10/x
  3. Step 3: Cross multiply
    688.84x = 1,035.06 × 645.10
  4. Step 4: Simplify right side
    688.84x = 667,717.21
  5. Step 5: Solve for x
    x = 667,717.21/688.84
  6. Step 6: Final answer
    x = 969.34

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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.