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Finding the Fourth Proportional to 618.48, 852.84 and 525.60

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Solution

The fourth proportional to 618.48, 852.84 and 525.60 is: 724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.48 : 852.84 = 525.60 : x
  2. Step 2: Convert to fraction form
    618.48/852.84 = 525.60/x
  3. Step 3: Cross multiply
    618.48x = 852.84 × 525.60
  4. Step 4: Simplify right side
    618.48x = 448,252.70
  5. Step 5: Solve for x
    x = 448,252.70/618.48
  6. Step 6: Final answer
    x = 724.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.