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Finding the Fourth Proportional to 648.81, 968.76 and 527.31

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Solution

The fourth proportional to 648.81, 968.76 and 527.31 is: 787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.81 : 968.76 = 527.31 : x
  2. Step 2: Convert to fraction form
    648.81/968.76 = 527.31/x
  3. Step 3: Cross multiply
    648.81x = 968.76 × 527.31
  4. Step 4: Simplify right side
    648.81x = 510,836.84
  5. Step 5: Solve for x
    x = 510,836.84/648.81
  6. Step 6: Final answer
    x = 787.34

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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.