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Finding the Fourth Proportional to 799.69, 1,102.55 and 537.13

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Solution

The fourth proportional to 799.69, 1,102.55 and 537.13 is: 740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.69 : 1,102.55 = 537.13 : x
  2. Step 2: Convert to fraction form
    799.69/1,102.55 = 537.13/x
  3. Step 3: Cross multiply
    799.69x = 1,102.55 × 537.13
  4. Step 4: Simplify right side
    799.69x = 592,210.00
  5. Step 5: Solve for x
    x = 592,210.00/799.69
  6. Step 6: Final answer
    x = 740.55

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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.