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Finding the Fourth Proportional to 608.46, 838.84 and 525.39

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Solution

The fourth proportional to 608.46, 838.84 and 525.39 is: 724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.46 : 838.84 = 525.39 : x
  2. Step 2: Convert to fraction form
    608.46/838.84 = 525.39/x
  3. Step 3: Cross multiply
    608.46x = 838.84 × 525.39
  4. Step 4: Simplify right side
    608.46x = 440,718.15
  5. Step 5: Solve for x
    x = 440,718.15/608.46
  6. Step 6: Final answer
    x = 724.32

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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.