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Finding the Fourth Proportional to 487.06, 668.87 and 417.12

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Solution

The fourth proportional to 487.06, 668.87 and 417.12 is: 572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.06 : 668.87 = 417.12 : x
  2. Step 2: Convert to fraction form
    487.06/668.87 = 417.12/x
  3. Step 3: Cross multiply
    487.06x = 668.87 × 417.12
  4. Step 4: Simplify right side
    487.06x = 278,999.05
  5. Step 5: Solve for x
    x = 278,999.05/487.06
  6. Step 6: Final answer
    x = 572.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.