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Finding the Fourth Proportional to 648.06, 969.66 and 526.56

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Solution

The fourth proportional to 648.06, 969.66 and 526.56 is: 787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.06 : 969.66 = 526.56 : x
  2. Step 2: Convert to fraction form
    648.06/969.66 = 526.56/x
  3. Step 3: Cross multiply
    648.06x = 969.66 × 526.56
  4. Step 4: Simplify right side
    648.06x = 510,584.17
  5. Step 5: Solve for x
    x = 510,584.17/648.06
  6. Step 6: Final answer
    x = 787.87

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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.