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Finding the Fourth Proportional to 934.66, 1,394.20 and 902.67

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Solution

The fourth proportional to 934.66, 1,394.20 and 902.67 is: 1,346.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.66 : 1,394.20 = 902.67 : x
  2. Step 2: Convert to fraction form
    934.66/1,394.20 = 902.67/x
  3. Step 3: Cross multiply
    934.66x = 1,394.20 × 902.67
  4. Step 4: Simplify right side
    934.66x = 1,258,502.51
  5. Step 5: Solve for x
    x = 1,258,502.51/934.66
  6. Step 6: Final answer
    x = 1,346.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.