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Finding the Fourth Proportional to 525.84, 725.88 and 351.42

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Solution

The fourth proportional to 525.84, 725.88 and 351.42 is: 485.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.84 : 725.88 = 351.42 : x
  2. Step 2: Convert to fraction form
    525.84/725.88 = 351.42/x
  3. Step 3: Cross multiply
    525.84x = 725.88 × 351.42
  4. Step 4: Simplify right side
    525.84x = 255,088.75
  5. Step 5: Solve for x
    x = 255,088.75/525.84
  6. Step 6: Final answer
    x = 485.11

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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.