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Finding the Fourth Proportional to 429.40, 646.43 and 384.75

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Solution

The fourth proportional to 429.40, 646.43 and 384.75 is: 579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.40 : 646.43 = 384.75 : x
  2. Step 2: Convert to fraction form
    429.40/646.43 = 384.75/x
  3. Step 3: Cross multiply
    429.40x = 646.43 × 384.75
  4. Step 4: Simplify right side
    429.40x = 248,714.18
  5. Step 5: Solve for x
    x = 248,714.18/429.40
  6. Step 6: Final answer
    x = 579.21

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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.