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Finding the Fourth Proportional to 551.99, 828.10 and 397.53

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Solution

The fourth proportional to 551.99, 828.10 and 397.53 is: 596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.99 : 828.10 = 397.53 : x
  2. Step 2: Convert to fraction form
    551.99/828.10 = 397.53/x
  3. Step 3: Cross multiply
    551.99x = 828.10 × 397.53
  4. Step 4: Simplify right side
    551.99x = 329,196.30
  5. Step 5: Solve for x
    x = 329,196.30/551.99
  6. Step 6: Final answer
    x = 596.38

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1.5x scale

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.