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Finding the Fourth Proportional to 618.80, 922.98 and 526.46

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Solution

The fourth proportional to 618.80, 922.98 and 526.46 is: 785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.80 : 922.98 = 526.46 : x
  2. Step 2: Convert to fraction form
    618.80/922.98 = 526.46/x
  3. Step 3: Cross multiply
    618.80x = 922.98 × 526.46
  4. Step 4: Simplify right side
    618.80x = 485,912.05
  5. Step 5: Solve for x
    x = 485,912.05/618.80
  6. Step 6: Final answer
    x = 785.25

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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.