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Finding the Fourth Proportional to 1,319.43, 1,978.60 and 497.26

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Solution

The fourth proportional to 1,319.43, 1,978.60 and 497.26 is: 745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.43 : 1,978.60 = 497.26 : x
  2. Step 2: Convert to fraction form
    1,319.43/1,978.60 = 497.26/x
  3. Step 3: Cross multiply
    1,319.43x = 1,978.60 × 497.26
  4. Step 4: Simplify right side
    1,319.43x = 983,878.64
  5. Step 5: Solve for x
    x = 983,878.64/1,319.43
  6. Step 6: Final answer
    x = 745.68

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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.