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Finding the Fourth Proportional to 833.19, 1,147.44 and 714.27

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Solution

The fourth proportional to 833.19, 1,147.44 and 714.27 is: 983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.19 : 1,147.44 = 714.27 : x
  2. Step 2: Convert to fraction form
    833.19/1,147.44 = 714.27/x
  3. Step 3: Cross multiply
    833.19x = 1,147.44 × 714.27
  4. Step 4: Simplify right side
    833.19x = 819,581.97
  5. Step 5: Solve for x
    x = 819,581.97/833.19
  6. Step 6: Final answer
    x = 983.67

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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.