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Finding the Fourth Proportional to 1,008.15, 1,509.18 and 660.81

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Solution

The fourth proportional to 1,008.15, 1,509.18 and 660.81 is: 989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.15 : 1,509.18 = 660.81 : x
  2. Step 2: Convert to fraction form
    1,008.15/1,509.18 = 660.81/x
  3. Step 3: Cross multiply
    1,008.15x = 1,509.18 × 660.81
  4. Step 4: Simplify right side
    1,008.15x = 997,279.65
  5. Step 5: Solve for x
    x = 997,279.65/1,008.15
  6. Step 6: Final answer
    x = 989.22

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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.