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Finding the Fourth Proportional to 618.92, 924.26 and 582.92

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Solution

The fourth proportional to 618.92, 924.26 and 582.92 is: 870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.92 : 924.26 = 582.92 : x
  2. Step 2: Convert to fraction form
    618.92/924.26 = 582.92/x
  3. Step 3: Cross multiply
    618.92x = 924.26 × 582.92
  4. Step 4: Simplify right side
    618.92x = 538,769.64
  5. Step 5: Solve for x
    x = 538,769.64/618.92
  6. Step 6: Final answer
    x = 870.50

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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.