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Finding the Fourth Proportional to 836.16, 1,258.69 and 642.24

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Solution

The fourth proportional to 836.16, 1,258.69 and 642.24 is: 966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.16 : 1,258.69 = 642.24 : x
  2. Step 2: Convert to fraction form
    836.16/1,258.69 = 642.24/x
  3. Step 3: Cross multiply
    836.16x = 1,258.69 × 642.24
  4. Step 4: Simplify right side
    836.16x = 808,381.07
  5. Step 5: Solve for x
    x = 808,381.07/836.16
  6. Step 6: Final answer
    x = 966.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.