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Finding the Fourth Proportional to 834.88, 1,149.96 and 598.48

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Solution

The fourth proportional to 834.88, 1,149.96 and 598.48 is: 824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.88 : 1,149.96 = 598.48 : x
  2. Step 2: Convert to fraction form
    834.88/1,149.96 = 598.48/x
  3. Step 3: Cross multiply
    834.88x = 1,149.96 × 598.48
  4. Step 4: Simplify right side
    834.88x = 688,228.06
  5. Step 5: Solve for x
    x = 688,228.06/834.88
  6. Step 6: Final answer
    x = 824.34

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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.