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Finding the Fourth Proportional to 429.17, 640.08 and 364.59

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Solution

The fourth proportional to 429.17, 640.08 and 364.59 is: 543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.17 : 640.08 = 364.59 : x
  2. Step 2: Convert to fraction form
    429.17/640.08 = 364.59/x
  3. Step 3: Cross multiply
    429.17x = 640.08 × 364.59
  4. Step 4: Simplify right side
    429.17x = 233,366.77
  5. Step 5: Solve for x
    x = 233,366.77/429.17
  6. Step 6: Final answer
    x = 543.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.