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Finding the Fourth Proportional to 551.61, 761.09 and 477.80

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Solution

The fourth proportional to 551.61, 761.09 and 477.80 is: 659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.61 : 761.09 = 477.80 : x
  2. Step 2: Convert to fraction form
    551.61/761.09 = 477.80/x
  3. Step 3: Cross multiply
    551.61x = 761.09 × 477.80
  4. Step 4: Simplify right side
    551.61x = 363,648.80
  5. Step 5: Solve for x
    x = 363,648.80/551.61
  6. Step 6: Final answer
    x = 659.25

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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.