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Finding the Fourth Proportional to 429.16, 640.66 and 374.50

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Solution

The fourth proportional to 429.16, 640.66 and 374.50 is: 559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.16 : 640.66 = 374.50 : x
  2. Step 2: Convert to fraction form
    429.16/640.66 = 374.50/x
  3. Step 3: Cross multiply
    429.16x = 640.66 × 374.50
  4. Step 4: Simplify right side
    429.16x = 239,927.17
  5. Step 5: Solve for x
    x = 239,927.17/429.16
  6. Step 6: Final answer
    x = 559.06

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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.