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Finding the Fourth Proportional to 430.12, 647.78 and 379.29

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Solution

The fourth proportional to 430.12, 647.78 and 379.29 is: 571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.12 : 647.78 = 379.29 : x
  2. Step 2: Convert to fraction form
    430.12/647.78 = 379.29/x
  3. Step 3: Cross multiply
    430.12x = 647.78 × 379.29
  4. Step 4: Simplify right side
    430.12x = 245,697.42
  5. Step 5: Solve for x
    x = 245,697.42/430.12
  6. Step 6: Final answer
    x = 571.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.