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Finding the Fourth Proportional to 429.66, 640.74 and 400.50

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Solution

The fourth proportional to 429.66, 640.74 and 400.50 is: 597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.66 : 640.74 = 400.50 : x
  2. Step 2: Convert to fraction form
    429.66/640.74 = 400.50/x
  3. Step 3: Cross multiply
    429.66x = 640.74 × 400.50
  4. Step 4: Simplify right side
    429.66x = 256,616.37
  5. Step 5: Solve for x
    x = 256,616.37/429.66
  6. Step 6: Final answer
    x = 597.25

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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.