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Finding the Fourth Proportional to 551.80, 761.64 and 386.05

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Solution

The fourth proportional to 551.80, 761.64 and 386.05 is: 532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.80 : 761.64 = 386.05 : x
  2. Step 2: Convert to fraction form
    551.80/761.64 = 386.05/x
  3. Step 3: Cross multiply
    551.80x = 761.64 × 386.05
  4. Step 4: Simplify right side
    551.80x = 294,031.12
  5. Step 5: Solve for x
    x = 294,031.12/551.80
  6. Step 6: Final answer
    x = 532.86

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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.