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Finding the Fourth Proportional to 739.60, 1,107.60 and 707.20

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Solution

The fourth proportional to 739.60, 1,107.60 and 707.20 is: 1,059.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.60 : 1,107.60 = 707.20 : x
  2. Step 2: Convert to fraction form
    739.60/1,107.60 = 707.20/x
  3. Step 3: Cross multiply
    739.60x = 1,107.60 × 707.20
  4. Step 4: Simplify right side
    739.60x = 783,294.72
  5. Step 5: Solve for x
    x = 783,294.72/739.60
  6. Step 6: Final answer
    x = 1,059.08

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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.