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Finding the Fourth Proportional to 557.02, 835.80 and 539.20

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Solution

The fourth proportional to 557.02, 835.80 and 539.20 is: 809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.02 : 835.80 = 539.20 : x
  2. Step 2: Convert to fraction form
    557.02/835.80 = 539.20/x
  3. Step 3: Cross multiply
    557.02x = 835.80 × 539.20
  4. Step 4: Simplify right side
    557.02x = 450,663.36
  5. Step 5: Solve for x
    x = 450,663.36/557.02
  6. Step 6: Final answer
    x = 809.06

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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.