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Finding the Fourth Proportional to 618.24, 922.14 and 525.90

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Solution

The fourth proportional to 618.24, 922.14 and 525.90 is: 784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.24 : 922.14 = 525.90 : x
  2. Step 2: Convert to fraction form
    618.24/922.14 = 525.90/x
  3. Step 3: Cross multiply
    618.24x = 922.14 × 525.90
  4. Step 4: Simplify right side
    618.24x = 484,953.43
  5. Step 5: Solve for x
    x = 484,953.43/618.24
  6. Step 6: Final answer
    x = 784.41

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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.