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Finding the Fourth Proportional to 492.57, 677.57 and 472.59

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Solution

The fourth proportional to 492.57, 677.57 and 472.59 is: 650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.57 : 677.57 = 472.59 : x
  2. Step 2: Convert to fraction form
    492.57/677.57 = 472.59/x
  3. Step 3: Cross multiply
    492.57x = 677.57 × 472.59
  4. Step 4: Simplify right side
    492.57x = 320,210.44
  5. Step 5: Solve for x
    x = 320,210.44/492.57
  6. Step 6: Final answer
    x = 650.08

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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.