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Finding the Fourth Proportional to 555.70, 828.64 and 550.75

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Solution

The fourth proportional to 555.70, 828.64 and 550.75 is: 821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.70 : 828.64 = 550.75 : x
  2. Step 2: Convert to fraction form
    555.70/828.64 = 550.75/x
  3. Step 3: Cross multiply
    555.70x = 828.64 × 550.75
  4. Step 4: Simplify right side
    555.70x = 456,373.48
  5. Step 5: Solve for x
    x = 456,373.48/555.70
  6. Step 6: Final answer
    x = 821.26

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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.