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Finding the Fourth Proportional to 779.60, 1,174.28 and 708.32

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Solution

The fourth proportional to 779.60, 1,174.28 and 708.32 is: 1,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.60 : 1,174.28 = 708.32 : x
  2. Step 2: Convert to fraction form
    779.60/1,174.28 = 708.32/x
  3. Step 3: Cross multiply
    779.60x = 1,174.28 × 708.32
  4. Step 4: Simplify right side
    779.60x = 831,766.01
  5. Step 5: Solve for x
    x = 831,766.01/779.60
  6. Step 6: Final answer
    x = 1,066.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.