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Finding the Fourth Proportional to 837.03, 1,156.41 and 708.24

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Solution

The fourth proportional to 837.03, 1,156.41 and 708.24 is: 978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.03 : 1,156.41 = 708.24 : x
  2. Step 2: Convert to fraction form
    837.03/1,156.41 = 708.24/x
  3. Step 3: Cross multiply
    837.03x = 1,156.41 × 708.24
  4. Step 4: Simplify right side
    837.03x = 819,015.82
  5. Step 5: Solve for x
    x = 819,015.82/837.03
  6. Step 6: Final answer
    x = 978.48

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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.