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Finding the Fourth Proportional to 837.60, 1,259.93 and 699.13

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Solution

The fourth proportional to 837.60, 1,259.93 and 699.13 is: 1,051.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.60 : 1,259.93 = 699.13 : x
  2. Step 2: Convert to fraction form
    837.60/1,259.93 = 699.13/x
  3. Step 3: Cross multiply
    837.60x = 1,259.93 × 699.13
  4. Step 4: Simplify right side
    837.60x = 880,854.86
  5. Step 5: Solve for x
    x = 880,854.86/837.60
  6. Step 6: Final answer
    x = 1,051.64

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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.