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Finding the Fourth Proportional to 835.86, 1,153.56 and 718.22

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Solution

The fourth proportional to 835.86, 1,153.56 and 718.22 is: 991.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.86 : 1,153.56 = 718.22 : x
  2. Step 2: Convert to fraction form
    835.86/1,153.56 = 718.22/x
  3. Step 3: Cross multiply
    835.86x = 1,153.56 × 718.22
  4. Step 4: Simplify right side
    835.86x = 828,504.10
  5. Step 5: Solve for x
    x = 828,504.10/835.86
  6. Step 6: Final answer
    x = 991.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.