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Finding the Fourth Proportional to 1,653.10, 2,480 and 498.76

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Solution

The fourth proportional to 1,653.10, 2,480 and 498.76 is: 748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.10 : 2,480 = 498.76 : x
  2. Step 2: Convert to fraction form
    1,653.10/2,480 = 498.76/x
  3. Step 3: Cross multiply
    1,653.10x = 2,480 × 498.76
  4. Step 4: Simplify right side
    1,653.10x = 1,236,924.80
  5. Step 5: Solve for x
    x = 1,236,924.80/1,653.10
  6. Step 6: Final answer
    x = 748.25

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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.