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Finding the Fourth Proportional to 1,053.68, 1,454.60 and 817.09

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Solution

The fourth proportional to 1,053.68, 1,454.60 and 817.09 is: 1,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.68 : 1,454.60 = 817.09 : x
  2. Step 2: Convert to fraction form
    1,053.68/1,454.60 = 817.09/x
  3. Step 3: Cross multiply
    1,053.68x = 1,454.60 × 817.09
  4. Step 4: Simplify right side
    1,053.68x = 1,188,539.11
  5. Step 5: Solve for x
    x = 1,188,539.11/1,053.68
  6. Step 6: Final answer
    x = 1,127.99

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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.