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Finding the Fourth Proportional to 400.78, 597.65 and 391.06

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Solution

The fourth proportional to 400.78, 597.65 and 391.06 is: 583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.78 : 597.65 = 391.06 : x
  2. Step 2: Convert to fraction form
    400.78/597.65 = 391.06/x
  3. Step 3: Cross multiply
    400.78x = 597.65 × 391.06
  4. Step 4: Simplify right side
    400.78x = 233,717.01
  5. Step 5: Solve for x
    x = 233,717.01/400.78
  6. Step 6: Final answer
    x = 583.16

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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.