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Finding the Fourth Proportional to 430.05, 647.82 and 392.69

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Solution

The fourth proportional to 430.05, 647.82 and 392.69 is: 591.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.05 : 647.82 = 392.69 : x
  2. Step 2: Convert to fraction form
    430.05/647.82 = 392.69/x
  3. Step 3: Cross multiply
    430.05x = 647.82 × 392.69
  4. Step 4: Simplify right side
    430.05x = 254,390.15
  5. Step 5: Solve for x
    x = 254,390.15/430.05
  6. Step 6: Final answer
    x = 591.54

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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.