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Finding the Fourth Proportional to 833.14, 1,147.19 and 714.21

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Solution

The fourth proportional to 833.14, 1,147.19 and 714.21 is: 983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.14 : 1,147.19 = 714.21 : x
  2. Step 2: Convert to fraction form
    833.14/1,147.19 = 714.21/x
  3. Step 3: Cross multiply
    833.14x = 1,147.19 × 714.21
  4. Step 4: Simplify right side
    833.14x = 819,334.57
  5. Step 5: Solve for x
    x = 819,334.57/833.14
  6. Step 6: Final answer
    x = 983.43

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Half scale
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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.