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Finding the Fourth Proportional to 400.02, 595.91 and 387.93

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Solution

The fourth proportional to 400.02, 595.91 and 387.93 is: 577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.02 : 595.91 = 387.93 : x
  2. Step 2: Convert to fraction form
    400.02/595.91 = 387.93/x
  3. Step 3: Cross multiply
    400.02x = 595.91 × 387.93
  4. Step 4: Simplify right side
    400.02x = 231,171.37
  5. Step 5: Solve for x
    x = 231,171.37/400.02
  6. Step 6: Final answer
    x = 577.90

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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.