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Finding the Fourth Proportional to 836.61, 1,154.46 and 463.56

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Solution

The fourth proportional to 836.61, 1,154.46 and 463.56 is: 639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.61 : 1,154.46 = 463.56 : x
  2. Step 2: Convert to fraction form
    836.61/1,154.46 = 463.56/x
  3. Step 3: Cross multiply
    836.61x = 1,154.46 × 463.56
  4. Step 4: Simplify right side
    836.61x = 535,161.48
  5. Step 5: Solve for x
    x = 535,161.48/836.61
  6. Step 6: Final answer
    x = 639.68

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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.