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Finding the Fourth Proportional to 567.32, 783.11 and 551.71

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Solution

The fourth proportional to 567.32, 783.11 and 551.71 is: 761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.32 : 783.11 = 551.71 : x
  2. Step 2: Convert to fraction form
    567.32/783.11 = 551.71/x
  3. Step 3: Cross multiply
    567.32x = 783.11 × 551.71
  4. Step 4: Simplify right side
    567.32x = 432,049.62
  5. Step 5: Solve for x
    x = 432,049.62/567.32
  6. Step 6: Final answer
    x = 761.56

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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.