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Finding the Fourth Proportional to 941.53, 1,412.32 and 803.71

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Solution

The fourth proportional to 941.53, 1,412.32 and 803.71 is: 1,205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.53 : 1,412.32 = 803.71 : x
  2. Step 2: Convert to fraction form
    941.53/1,412.32 = 803.71/x
  3. Step 3: Cross multiply
    941.53x = 1,412.32 × 803.71
  4. Step 4: Simplify right side
    941.53x = 1,135,088.65
  5. Step 5: Solve for x
    x = 1,135,088.65/941.53
  6. Step 6: Final answer
    x = 1,205.58

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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.