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Finding the Fourth Proportional to 795.52, 1,099.20 and 657.28

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Solution

The fourth proportional to 795.52, 1,099.20 and 657.28 is: 908.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.52 : 1,099.20 = 657.28 : x
  2. Step 2: Convert to fraction form
    795.52/1,099.20 = 657.28/x
  3. Step 3: Cross multiply
    795.52x = 1,099.20 × 657.28
  4. Step 4: Simplify right side
    795.52x = 722,482.18
  5. Step 5: Solve for x
    x = 722,482.18/795.52
  6. Step 6: Final answer
    x = 908.19

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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.