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Finding the Fourth Proportional to 552.61, 832.13 and 399.58

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Solution

The fourth proportional to 552.61, 832.13 and 399.58 is: 601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.61 : 832.13 = 399.58 : x
  2. Step 2: Convert to fraction form
    552.61/832.13 = 399.58/x
  3. Step 3: Cross multiply
    552.61x = 832.13 × 399.58
  4. Step 4: Simplify right side
    552.61x = 332,502.51
  5. Step 5: Solve for x
    x = 332,502.51/552.61
  6. Step 6: Final answer
    x = 601.69

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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.