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Finding the Fourth Proportional to 429.93, 647.63 and 392.56

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Solution

The fourth proportional to 429.93, 647.63 and 392.56 is: 591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.93 : 647.63 = 392.56 : x
  2. Step 2: Convert to fraction form
    429.93/647.63 = 392.56/x
  3. Step 3: Cross multiply
    429.93x = 647.63 × 392.56
  4. Step 4: Simplify right side
    429.93x = 254,235.08
  5. Step 5: Solve for x
    x = 254,235.08/429.93
  6. Step 6: Final answer
    x = 591.35

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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.