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Finding the Fourth Proportional to 1,319.19, 1,978.80 and 498.03

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Solution

The fourth proportional to 1,319.19, 1,978.80 and 498.03 is: 747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.19 : 1,978.80 = 498.03 : x
  2. Step 2: Convert to fraction form
    1,319.19/1,978.80 = 498.03/x
  3. Step 3: Cross multiply
    1,319.19x = 1,978.80 × 498.03
  4. Step 4: Simplify right side
    1,319.19x = 985,501.76
  5. Step 5: Solve for x
    x = 985,501.76/1,319.19
  6. Step 6: Final answer
    x = 747.05

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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.