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Finding the Fourth Proportional to 618.42, 923.56 and 527.28

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Solution

The fourth proportional to 618.42, 923.56 and 527.28 is: 787.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.42 : 923.56 = 527.28 : x
  2. Step 2: Convert to fraction form
    618.42/923.56 = 527.28/x
  3. Step 3: Cross multiply
    618.42x = 923.56 × 527.28
  4. Step 4: Simplify right side
    618.42x = 486,974.72
  5. Step 5: Solve for x
    x = 486,974.72/618.42
  6. Step 6: Final answer
    x = 787.45

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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.