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Finding the Fourth Proportional to 1,320.08, 1,978.96 and 498.40

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Solution

The fourth proportional to 1,320.08, 1,978.96 and 498.40 is: 747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.08 : 1,978.96 = 498.40 : x
  2. Step 2: Convert to fraction form
    1,320.08/1,978.96 = 498.40/x
  3. Step 3: Cross multiply
    1,320.08x = 1,978.96 × 498.40
  4. Step 4: Simplify right side
    1,320.08x = 986,313.66
  5. Step 5: Solve for x
    x = 986,313.66/1,320.08
  6. Step 6: Final answer
    x = 747.16

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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.