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Finding the Fourth Proportional to 776.96, 1,166.08 and 392.32

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Solution

The fourth proportional to 776.96, 1,166.08 and 392.32 is: 588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.96 : 1,166.08 = 392.32 : x
  2. Step 2: Convert to fraction form
    776.96/1,166.08 = 392.32/x
  3. Step 3: Cross multiply
    776.96x = 1,166.08 × 392.32
  4. Step 4: Simplify right side
    776.96x = 457,476.51
  5. Step 5: Solve for x
    x = 457,476.51/776.96
  6. Step 6: Final answer
    x = 588.80

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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.