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Finding the Fourth Proportional to 1,214.93, 1,823.30 and 803.91

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Solution

The fourth proportional to 1,214.93, 1,823.30 and 803.91 is: 1,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.93 : 1,823.30 = 803.91 : x
  2. Step 2: Convert to fraction form
    1,214.93/1,823.30 = 803.91/x
  3. Step 3: Cross multiply
    1,214.93x = 1,823.30 × 803.91
  4. Step 4: Simplify right side
    1,214.93x = 1,465,765.08
  5. Step 5: Solve for x
    x = 1,465,765.08/1,214.93
  6. Step 6: Final answer
    x = 1,206.47

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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.