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Finding the Fourth Proportional to 464.15, 691.82 and 429.04

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Solution

The fourth proportional to 464.15, 691.82 and 429.04 is: 639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.15 : 691.82 = 429.04 : x
  2. Step 2: Convert to fraction form
    464.15/691.82 = 429.04/x
  3. Step 3: Cross multiply
    464.15x = 691.82 × 429.04
  4. Step 4: Simplify right side
    464.15x = 296,818.45
  5. Step 5: Solve for x
    x = 296,818.45/464.15
  6. Step 6: Final answer
    x = 639.49

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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.