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Finding the Fourth Proportional to 931.96, 1,392.44 and 899.65

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Solution

The fourth proportional to 931.96, 1,392.44 and 899.65 is: 1,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.96 : 1,392.44 = 899.65 : x
  2. Step 2: Convert to fraction form
    931.96/1,392.44 = 899.65/x
  3. Step 3: Cross multiply
    931.96x = 1,392.44 × 899.65
  4. Step 4: Simplify right side
    931.96x = 1,252,708.65
  5. Step 5: Solve for x
    x = 1,252,708.65/931.96
  6. Step 6: Final answer
    x = 1,344.17

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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.