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Finding the Fourth Proportional to 1,316.90, 1,817.34 and 819.74

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Solution

The fourth proportional to 1,316.90, 1,817.34 and 819.74 is: 1,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.90 : 1,817.34 = 819.74 : x
  2. Step 2: Convert to fraction form
    1,316.90/1,817.34 = 819.74/x
  3. Step 3: Cross multiply
    1,316.90x = 1,817.34 × 819.74
  4. Step 4: Simplify right side
    1,316.90x = 1,489,746.29
  5. Step 5: Solve for x
    x = 1,489,746.29/1,316.90
  6. Step 6: Final answer
    x = 1,131.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.