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Finding the Fourth Proportional to 430.17, 647.39 and 328.11

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Solution

The fourth proportional to 430.17, 647.39 and 328.11 is: 493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.17 : 647.39 = 328.11 : x
  2. Step 2: Convert to fraction form
    430.17/647.39 = 328.11/x
  3. Step 3: Cross multiply
    430.17x = 647.39 × 328.11
  4. Step 4: Simplify right side
    430.17x = 212,415.13
  5. Step 5: Solve for x
    x = 212,415.13/430.17
  6. Step 6: Final answer
    x = 493.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.