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Finding the Fourth Proportional to 834.76, 1,151.31 and 569.35

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Solution

The fourth proportional to 834.76, 1,151.31 and 569.35 is: 785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.76 : 1,151.31 = 569.35 : x
  2. Step 2: Convert to fraction form
    834.76/1,151.31 = 569.35/x
  3. Step 3: Cross multiply
    834.76x = 1,151.31 × 569.35
  4. Step 4: Simplify right side
    834.76x = 655,498.35
  5. Step 5: Solve for x
    x = 655,498.35/834.76
  6. Step 6: Final answer
    x = 785.25

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Double scale
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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.