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Finding the Fourth Proportional to 618.26, 923.48 and 582.72

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Solution

The fourth proportional to 618.26, 923.48 and 582.72 is: 870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.26 : 923.48 = 582.72 : x
  2. Step 2: Convert to fraction form
    618.26/923.48 = 582.72/x
  3. Step 3: Cross multiply
    618.26x = 923.48 × 582.72
  4. Step 4: Simplify right side
    618.26x = 538,130.27
  5. Step 5: Solve for x
    x = 538,130.27/618.26
  6. Step 6: Final answer
    x = 870.39

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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.