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Finding the Fourth Proportional to 1,210.90, 1,817.15 and 663.47

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Solution

The fourth proportional to 1,210.90, 1,817.15 and 663.47 is: 995.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.90 : 1,817.15 = 663.47 : x
  2. Step 2: Convert to fraction form
    1,210.90/1,817.15 = 663.47/x
  3. Step 3: Cross multiply
    1,210.90x = 1,817.15 × 663.47
  4. Step 4: Simplify right side
    1,210.90x = 1,205,614.74
  5. Step 5: Solve for x
    x = 1,205,614.74/1,210.90
  6. Step 6: Final answer
    x = 995.64

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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.