Home / 1,319.25-1,979.10-497.64

Finding the Fourth Proportional to 1,319.25, 1,979.10 and 497.64

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Solution

The fourth proportional to 1,319.25, 1,979.10 and 497.64 is: 746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.25 : 1,979.10 = 497.64 : x
  2. Step 2: Convert to fraction form
    1,319.25/1,979.10 = 497.64/x
  3. Step 3: Cross multiply
    1,319.25x = 1,979.10 × 497.64
  4. Step 4: Simplify right side
    1,319.25x = 984,879.32
  5. Step 5: Solve for x
    x = 984,879.32/1,319.25
  6. Step 6: Final answer
    x = 746.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.