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Finding the Fourth Proportional to 795.40, 1,097.50 and 480.60

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Solution

The fourth proportional to 795.40, 1,097.50 and 480.60 is: 663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.40 : 1,097.50 = 480.60 : x
  2. Step 2: Convert to fraction form
    795.40/1,097.50 = 480.60/x
  3. Step 3: Cross multiply
    795.40x = 1,097.50 × 480.60
  4. Step 4: Simplify right side
    795.40x = 527,458.50
  5. Step 5: Solve for x
    x = 527,458.50/795.40
  6. Step 6: Final answer
    x = 663.14

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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.