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Finding the Fourth Proportional to 835.06, 1,155.34 and 710.32

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Solution

The fourth proportional to 835.06, 1,155.34 and 710.32 is: 982.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.06 : 1,155.34 = 710.32 : x
  2. Step 2: Convert to fraction form
    835.06/1,155.34 = 710.32/x
  3. Step 3: Cross multiply
    835.06x = 1,155.34 × 710.32
  4. Step 4: Simplify right side
    835.06x = 820,661.11
  5. Step 5: Solve for x
    x = 820,661.11/835.06
  6. Step 6: Final answer
    x = 982.76

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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.