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Finding the Fourth Proportional to 567.36, 846.90 and 486.72

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Solution

The fourth proportional to 567.36, 846.90 and 486.72 is: 726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.36 : 846.90 = 486.72 : x
  2. Step 2: Convert to fraction form
    567.36/846.90 = 486.72/x
  3. Step 3: Cross multiply
    567.36x = 846.90 × 486.72
  4. Step 4: Simplify right side
    567.36x = 412,203.17
  5. Step 5: Solve for x
    x = 412,203.17/567.36
  6. Step 6: Final answer
    x = 726.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.