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Finding the Fourth Proportional to 430.22, 647.65 and 391.94

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Solution

The fourth proportional to 430.22, 647.65 and 391.94 is: 590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.22 : 647.65 = 391.94 : x
  2. Step 2: Convert to fraction form
    430.22/647.65 = 391.94/x
  3. Step 3: Cross multiply
    430.22x = 647.65 × 391.94
  4. Step 4: Simplify right side
    430.22x = 253,839.94
  5. Step 5: Solve for x
    x = 253,839.94/430.22
  6. Step 6: Final answer
    x = 590.02

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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.