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Finding the Fourth Proportional to 839.56, 1,155.78 and 708.52

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Solution

The fourth proportional to 839.56, 1,155.78 and 708.52 is: 975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.56 : 1,155.78 = 708.52 : x
  2. Step 2: Convert to fraction form
    839.56/1,155.78 = 708.52/x
  3. Step 3: Cross multiply
    839.56x = 1,155.78 × 708.52
  4. Step 4: Simplify right side
    839.56x = 818,893.25
  5. Step 5: Solve for x
    x = 818,893.25/839.56
  6. Step 6: Final answer
    x = 975.38

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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.