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Finding the Fourth Proportional to 1,018.12, 1,516.97 and 908.98

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Solution

The fourth proportional to 1,018.12, 1,516.97 and 908.98 is: 1,354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.12 : 1,516.97 = 908.98 : x
  2. Step 2: Convert to fraction form
    1,018.12/1,516.97 = 908.98/x
  3. Step 3: Cross multiply
    1,018.12x = 1,516.97 × 908.98
  4. Step 4: Simplify right side
    1,018.12x = 1,378,895.39
  5. Step 5: Solve for x
    x = 1,378,895.39/1,018.12
  6. Step 6: Final answer
    x = 1,354.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.