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Finding the Fourth Proportional to 1,319.90, 1,980.07 and 498.29

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Solution

The fourth proportional to 1,319.90, 1,980.07 and 498.29 is: 747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.90 : 1,980.07 = 498.29 : x
  2. Step 2: Convert to fraction form
    1,319.90/1,980.07 = 498.29/x
  3. Step 3: Cross multiply
    1,319.90x = 1,980.07 × 498.29
  4. Step 4: Simplify right side
    1,319.90x = 986,637.93
  5. Step 5: Solve for x
    x = 986,637.93/1,319.90
  6. Step 6: Final answer
    x = 747.51

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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.