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Finding the Fourth Proportional to 557.79, 829.92 and 555.90

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Solution

The fourth proportional to 557.79, 829.92 and 555.90 is: 827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.79 : 829.92 = 555.90 : x
  2. Step 2: Convert to fraction form
    557.79/829.92 = 555.90/x
  3. Step 3: Cross multiply
    557.79x = 829.92 × 555.90
  4. Step 4: Simplify right side
    557.79x = 461,352.53
  5. Step 5: Solve for x
    x = 461,352.53/557.79
  6. Step 6: Final answer
    x = 827.11

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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.