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Finding the Fourth Proportional to 663.11, 914.58 and 588.50

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Solution

The fourth proportional to 663.11, 914.58 and 588.50 is: 811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.11 : 914.58 = 588.50 : x
  2. Step 2: Convert to fraction form
    663.11/914.58 = 588.50/x
  3. Step 3: Cross multiply
    663.11x = 914.58 × 588.50
  4. Step 4: Simplify right side
    663.11x = 538,225.76
  5. Step 5: Solve for x
    x = 538,225.76/663.11
  6. Step 6: Final answer
    x = 811.68

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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.