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Finding the Fourth Proportional to 510.80, 704.40 and 400.12

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Solution

The fourth proportional to 510.80, 704.40 and 400.12 is: 551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.80 : 704.40 = 400.12 : x
  2. Step 2: Convert to fraction form
    510.80/704.40 = 400.12/x
  3. Step 3: Cross multiply
    510.80x = 704.40 × 400.12
  4. Step 4: Simplify right side
    510.80x = 281,844.53
  5. Step 5: Solve for x
    x = 281,844.53/510.80
  6. Step 6: Final answer
    x = 551.77

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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.