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Finding the Fourth Proportional to 429.66, 646.81 and 370.13

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Solution

The fourth proportional to 429.66, 646.81 and 370.13 is: 557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.66 : 646.81 = 370.13 : x
  2. Step 2: Convert to fraction form
    429.66/646.81 = 370.13/x
  3. Step 3: Cross multiply
    429.66x = 646.81 × 370.13
  4. Step 4: Simplify right side
    429.66x = 239,399.63
  5. Step 5: Solve for x
    x = 239,399.63/429.66
  6. Step 6: Final answer
    x = 557.18

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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.