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Finding the Fourth Proportional to 400.84, 597.88 and 388.69

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Solution

The fourth proportional to 400.84, 597.88 and 388.69 is: 579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.84 : 597.88 = 388.69 : x
  2. Step 2: Convert to fraction form
    400.84/597.88 = 388.69/x
  3. Step 3: Cross multiply
    400.84x = 597.88 × 388.69
  4. Step 4: Simplify right side
    400.84x = 232,389.98
  5. Step 5: Solve for x
    x = 232,389.98/400.84
  6. Step 6: Final answer
    x = 579.76

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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.