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Finding the Fourth Proportional to 1,516.53, 2,275.77 and 997.58

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Solution

The fourth proportional to 1,516.53, 2,275.77 and 997.58 is: 1,497.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.53 : 2,275.77 = 997.58 : x
  2. Step 2: Convert to fraction form
    1,516.53/2,275.77 = 997.58/x
  3. Step 3: Cross multiply
    1,516.53x = 2,275.77 × 997.58
  4. Step 4: Simplify right side
    1,516.53x = 2,270,246.27
  5. Step 5: Solve for x
    x = 2,270,246.27/1,516.53
  6. Step 6: Final answer
    x = 1,497.00

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1.5x scale

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.