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Finding the Fourth Proportional to 525.70, 787.20 and 416.80

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Solution

The fourth proportional to 525.70, 787.20 and 416.80 is: 624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.70 : 787.20 = 416.80 : x
  2. Step 2: Convert to fraction form
    525.70/787.20 = 416.80/x
  3. Step 3: Cross multiply
    525.70x = 787.20 × 416.80
  4. Step 4: Simplify right side
    525.70x = 328,104.96
  5. Step 5: Solve for x
    x = 328,104.96/525.70
  6. Step 6: Final answer
    x = 624.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.