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Finding the Fourth Proportional to 555.02, 827.76 and 536.80

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Solution

The fourth proportional to 555.02, 827.76 and 536.80 is: 800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.02 : 827.76 = 536.80 : x
  2. Step 2: Convert to fraction form
    555.02/827.76 = 536.80/x
  3. Step 3: Cross multiply
    555.02x = 827.76 × 536.80
  4. Step 4: Simplify right side
    555.02x = 444,341.57
  5. Step 5: Solve for x
    x = 444,341.57/555.02
  6. Step 6: Final answer
    x = 800.59

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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.