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Finding the Fourth Proportional to 1,797.19, 2,695.80 and 498.76

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Solution

The fourth proportional to 1,797.19, 2,695.80 and 498.76 is: 748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.19 : 2,695.80 = 498.76 : x
  2. Step 2: Convert to fraction form
    1,797.19/2,695.80 = 498.76/x
  3. Step 3: Cross multiply
    1,797.19x = 2,695.80 × 498.76
  4. Step 4: Simplify right side
    1,797.19x = 1,344,541.24
  5. Step 5: Solve for x
    x = 1,344,541.24/1,797.19
  6. Step 6: Final answer
    x = 748.14

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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.