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Finding the Fourth Proportional to 829.58, 1,143.06 and 686.17

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Solution

The fourth proportional to 829.58, 1,143.06 and 686.17 is: 945.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.58 : 1,143.06 = 686.17 : x
  2. Step 2: Convert to fraction form
    829.58/1,143.06 = 686.17/x
  3. Step 3: Cross multiply
    829.58x = 1,143.06 × 686.17
  4. Step 4: Simplify right side
    829.58x = 784,332.34
  5. Step 5: Solve for x
    x = 784,332.34/829.58
  6. Step 6: Final answer
    x = 945.46

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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.