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Finding the Fourth Proportional to 697.24, 962.20 and 398.55

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Solution

The fourth proportional to 697.24, 962.20 and 398.55 is: 550.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.24 : 962.20 = 398.55 : x
  2. Step 2: Convert to fraction form
    697.24/962.20 = 398.55/x
  3. Step 3: Cross multiply
    697.24x = 962.20 × 398.55
  4. Step 4: Simplify right side
    697.24x = 383,486.21
  5. Step 5: Solve for x
    x = 383,486.21/697.24
  6. Step 6: Final answer
    x = 550.01

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1.5x scale

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.