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Finding the Fourth Proportional to 660.60, 910.53 and 463.77

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Solution

The fourth proportional to 660.60, 910.53 and 463.77 is: 639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.60 : 910.53 = 463.77 : x
  2. Step 2: Convert to fraction form
    660.60/910.53 = 463.77/x
  3. Step 3: Cross multiply
    660.60x = 910.53 × 463.77
  4. Step 4: Simplify right side
    660.60x = 422,276.50
  5. Step 5: Solve for x
    x = 422,276.50/660.60
  6. Step 6: Final answer
    x = 639.23

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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.