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Finding the Fourth Proportional to 751.60, 1,129.80 and 708.40

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Solution

The fourth proportional to 751.60, 1,129.80 and 708.40 is: 1,064.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.60 : 1,129.80 = 708.40 : x
  2. Step 2: Convert to fraction form
    751.60/1,129.80 = 708.40/x
  3. Step 3: Cross multiply
    751.60x = 1,129.80 × 708.40
  4. Step 4: Simplify right side
    751.60x = 800,350.32
  5. Step 5: Solve for x
    x = 800,350.32/751.60
  6. Step 6: Final answer
    x = 1,064.86

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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.