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Finding the Fourth Proportional to 1,070.52, 1,608.66 and 817.08

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Solution

The fourth proportional to 1,070.52, 1,608.66 and 817.08 is: 1,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.52 : 1,608.66 = 817.08 : x
  2. Step 2: Convert to fraction form
    1,070.52/1,608.66 = 817.08/x
  3. Step 3: Cross multiply
    1,070.52x = 1,608.66 × 817.08
  4. Step 4: Simplify right side
    1,070.52x = 1,314,403.91
  5. Step 5: Solve for x
    x = 1,314,403.91/1,070.52
  6. Step 6: Final answer
    x = 1,227.82

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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.