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Finding the Fourth Proportional to 1,117.22, 1,673.39 and 538.88

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Solution

The fourth proportional to 1,117.22, 1,673.39 and 538.88 is: 807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.22 : 1,673.39 = 538.88 : x
  2. Step 2: Convert to fraction form
    1,117.22/1,673.39 = 538.88/x
  3. Step 3: Cross multiply
    1,117.22x = 1,673.39 × 538.88
  4. Step 4: Simplify right side
    1,117.22x = 901,749.38
  5. Step 5: Solve for x
    x = 901,749.38/1,117.22
  6. Step 6: Final answer
    x = 807.14

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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.