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Finding the Fourth Proportional to 555.75, 828.72 and 541.17

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Solution

The fourth proportional to 555.75, 828.72 and 541.17 is: 806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.75 : 828.72 = 541.17 : x
  2. Step 2: Convert to fraction form
    555.75/828.72 = 541.17/x
  3. Step 3: Cross multiply
    555.75x = 828.72 × 541.17
  4. Step 4: Simplify right side
    555.75x = 448,478.40
  5. Step 5: Solve for x
    x = 448,478.40/555.75
  6. Step 6: Final answer
    x = 806.98

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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.