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Finding the Fourth Proportional to 556.57, 836.02 and 538.14

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Solution

The fourth proportional to 556.57, 836.02 and 538.14 is: 808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.57 : 836.02 = 538.14 : x
  2. Step 2: Convert to fraction form
    556.57/836.02 = 538.14/x
  3. Step 3: Cross multiply
    556.57x = 836.02 × 538.14
  4. Step 4: Simplify right side
    556.57x = 449,899.61
  5. Step 5: Solve for x
    x = 449,899.61/556.57
  6. Step 6: Final answer
    x = 808.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.