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Finding the Fourth Proportional to 400.77, 603.29 and 286.01

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Solution

The fourth proportional to 400.77, 603.29 and 286.01 is: 430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.77 : 603.29 = 286.01 : x
  2. Step 2: Convert to fraction form
    400.77/603.29 = 286.01/x
  3. Step 3: Cross multiply
    400.77x = 603.29 × 286.01
  4. Step 4: Simplify right side
    400.77x = 172,548.12
  5. Step 5: Solve for x
    x = 172,548.12/400.77
  6. Step 6: Final answer
    x = 430.54

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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.