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Finding the Fourth Proportional to 679.30, 936.78 and 430.20

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Solution

The fourth proportional to 679.30, 936.78 and 430.20 is: 593.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.30 : 936.78 = 430.20 : x
  2. Step 2: Convert to fraction form
    679.30/936.78 = 430.20/x
  3. Step 3: Cross multiply
    679.30x = 936.78 × 430.20
  4. Step 4: Simplify right side
    679.30x = 403,002.76
  5. Step 5: Solve for x
    x = 403,002.76/679.30
  6. Step 6: Final answer
    x = 593.26

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1.5x scale

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.