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Finding the Fourth Proportional to 567.52, 786.81 and 547.47

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Solution

The fourth proportional to 567.52, 786.81 and 547.47 is: 759.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.52 : 786.81 = 547.47 : x
  2. Step 2: Convert to fraction form
    567.52/786.81 = 547.47/x
  3. Step 3: Cross multiply
    567.52x = 786.81 × 547.47
  4. Step 4: Simplify right side
    567.52x = 430,752.82
  5. Step 5: Solve for x
    x = 430,752.82/567.52
  6. Step 6: Final answer
    x = 759.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.