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Finding the Fourth Proportional to 798.53, 1,102.50 and 515.09

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Solution

The fourth proportional to 798.53, 1,102.50 and 515.09 is: 711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.53 : 1,102.50 = 515.09 : x
  2. Step 2: Convert to fraction form
    798.53/1,102.50 = 515.09/x
  3. Step 3: Cross multiply
    798.53x = 1,102.50 × 515.09
  4. Step 4: Simplify right side
    798.53x = 567,889.48
  5. Step 5: Solve for x
    x = 567,889.48/798.53
  6. Step 6: Final answer
    x = 711.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.