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Finding the Fourth Proportional to 836.46, 1,154.26 and 463.46

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Solution

The fourth proportional to 836.46, 1,154.26 and 463.46 is: 639.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.46 : 1,154.26 = 463.46 : x
  2. Step 2: Convert to fraction form
    836.46/1,154.26 = 463.46/x
  3. Step 3: Cross multiply
    836.46x = 1,154.26 × 463.46
  4. Step 4: Simplify right side
    836.46x = 534,953.34
  5. Step 5: Solve for x
    x = 534,953.34/836.46
  6. Step 6: Final answer
    x = 639.54

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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.