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Finding the Fourth Proportional to 776.73, 1,070.91 and 664.68

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Solution

The fourth proportional to 776.73, 1,070.91 and 664.68 is: 916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.73 : 1,070.91 = 664.68 : x
  2. Step 2: Convert to fraction form
    776.73/1,070.91 = 664.68/x
  3. Step 3: Cross multiply
    776.73x = 1,070.91 × 664.68
  4. Step 4: Simplify right side
    776.73x = 711,812.46
  5. Step 5: Solve for x
    x = 711,812.46/776.73
  6. Step 6: Final answer
    x = 916.42

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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.