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Finding the Fourth Proportional to 491.20, 746.40 and 491.20

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Solution

The fourth proportional to 491.20, 746.40 and 491.20 is: 746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.20 : 746.40 = 491.20 : x
  2. Step 2: Convert to fraction form
    491.20/746.40 = 491.20/x
  3. Step 3: Cross multiply
    491.20x = 746.40 × 491.20
  4. Step 4: Simplify right side
    491.20x = 366,631.68
  5. Step 5: Solve for x
    x = 366,631.68/491.20
  6. Step 6: Final answer
    x = 746.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.