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Finding the Fourth Proportional to 618.17, 922.91 and 525.56

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Solution

The fourth proportional to 618.17, 922.91 and 525.56 is: 784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.17 : 922.91 = 525.56 : x
  2. Step 2: Convert to fraction form
    618.17/922.91 = 525.56/x
  3. Step 3: Cross multiply
    618.17x = 922.91 × 525.56
  4. Step 4: Simplify right side
    618.17x = 485,037.34
  5. Step 5: Solve for x
    x = 485,037.34/618.17
  6. Step 6: Final answer
    x = 784.64

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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.