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Finding the Fourth Proportional to 555.43, 832.21 and 392.77

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Solution

The fourth proportional to 555.43, 832.21 and 392.77 is: 588.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.43 : 832.21 = 392.77 : x
  2. Step 2: Convert to fraction form
    555.43/832.21 = 392.77/x
  3. Step 3: Cross multiply
    555.43x = 832.21 × 392.77
  4. Step 4: Simplify right side
    555.43x = 326,867.12
  5. Step 5: Solve for x
    x = 326,867.12/555.43
  6. Step 6: Final answer
    x = 588.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.