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Finding the Fourth Proportional to 836.60, 1,154.51 and 463.60

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Solution

The fourth proportional to 836.60, 1,154.51 and 463.60 is: 639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.60 : 1,154.51 = 463.60 : x
  2. Step 2: Convert to fraction form
    836.60/1,154.51 = 463.60/x
  3. Step 3: Cross multiply
    836.60x = 1,154.51 × 463.60
  4. Step 4: Simplify right side
    836.60x = 535,230.84
  5. Step 5: Solve for x
    x = 535,230.84/836.60
  6. Step 6: Final answer
    x = 639.77

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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.