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Finding the Fourth Proportional to 828.74, 1,143.63 and 718.17

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Solution

The fourth proportional to 828.74, 1,143.63 and 718.17 is: 991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.74 : 1,143.63 = 718.17 : x
  2. Step 2: Convert to fraction form
    828.74/1,143.63 = 718.17/x
  3. Step 3: Cross multiply
    828.74x = 1,143.63 × 718.17
  4. Step 4: Simplify right side
    828.74x = 821,320.76
  5. Step 5: Solve for x
    x = 821,320.76/828.74
  6. Step 6: Final answer
    x = 991.05

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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.