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Finding the Fourth Proportional to 1,659.76, 2,490.72 and 633.76

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Solution

The fourth proportional to 1,659.76, 2,490.72 and 633.76 is: 951.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.76 : 2,490.72 = 633.76 : x
  2. Step 2: Convert to fraction form
    1,659.76/2,490.72 = 633.76/x
  3. Step 3: Cross multiply
    1,659.76x = 2,490.72 × 633.76
  4. Step 4: Simplify right side
    1,659.76x = 1,578,518.71
  5. Step 5: Solve for x
    x = 1,578,518.71/1,659.76
  6. Step 6: Final answer
    x = 951.05

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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.