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Finding the Fourth Proportional to 555.52, 835.08 and 538.24

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Solution

The fourth proportional to 555.52, 835.08 and 538.24 is: 809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.52 : 835.08 = 538.24 : x
  2. Step 2: Convert to fraction form
    555.52/835.08 = 538.24/x
  3. Step 3: Cross multiply
    555.52x = 835.08 × 538.24
  4. Step 4: Simplify right side
    555.52x = 449,473.46
  5. Step 5: Solve for x
    x = 449,473.46/555.52
  6. Step 6: Final answer
    x = 809.10

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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.