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Finding the Fourth Proportional to 613.75, 919.70 and 525.37

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Solution

The fourth proportional to 613.75, 919.70 and 525.37 is: 787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.75 : 919.70 = 525.37 : x
  2. Step 2: Convert to fraction form
    613.75/919.70 = 525.37/x
  3. Step 3: Cross multiply
    613.75x = 919.70 × 525.37
  4. Step 4: Simplify right side
    613.75x = 483,182.79
  5. Step 5: Solve for x
    x = 483,182.79/613.75
  6. Step 6: Final answer
    x = 787.27

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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.