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Finding the Fourth Proportional to 557.49, 832.84 and 400.06

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Solution

The fourth proportional to 557.49, 832.84 and 400.06 is: 597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.49 : 832.84 = 400.06 : x
  2. Step 2: Convert to fraction form
    557.49/832.84 = 400.06/x
  3. Step 3: Cross multiply
    557.49x = 832.84 × 400.06
  4. Step 4: Simplify right side
    557.49x = 333,185.97
  5. Step 5: Solve for x
    x = 333,185.97/557.49
  6. Step 6: Final answer
    x = 597.65

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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.