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Finding the Fourth Proportional to 618.78, 923.73 and 577.83

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Solution

The fourth proportional to 618.78, 923.73 and 577.83 is: 862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.78 : 923.73 = 577.83 : x
  2. Step 2: Convert to fraction form
    618.78/923.73 = 577.83/x
  3. Step 3: Cross multiply
    618.78x = 923.73 × 577.83
  4. Step 4: Simplify right side
    618.78x = 533,758.91
  5. Step 5: Solve for x
    x = 533,758.91/618.78
  6. Step 6: Final answer
    x = 862.60

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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.