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Finding the Fourth Proportional to 679.16, 936.78 and 417.08

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Solution

The fourth proportional to 679.16, 936.78 and 417.08 is: 575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.16 : 936.78 = 417.08 : x
  2. Step 2: Convert to fraction form
    679.16/936.78 = 417.08/x
  3. Step 3: Cross multiply
    679.16x = 936.78 × 417.08
  4. Step 4: Simplify right side
    679.16x = 390,712.20
  5. Step 5: Solve for x
    x = 390,712.20/679.16
  6. Step 6: Final answer
    x = 575.29

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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.