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Finding the Fourth Proportional to 555.13, 827.79 and 478.58

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Solution

The fourth proportional to 555.13, 827.79 and 478.58 is: 713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.13 : 827.79 = 478.58 : x
  2. Step 2: Convert to fraction form
    555.13/827.79 = 478.58/x
  3. Step 3: Cross multiply
    555.13x = 827.79 × 478.58
  4. Step 4: Simplify right side
    555.13x = 396,165.81
  5. Step 5: Solve for x
    x = 396,165.81/555.13
  6. Step 6: Final answer
    x = 713.65

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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.