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Finding the Fourth Proportional to 663.62, 912.51 and 589.80

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Solution

The fourth proportional to 663.62, 912.51 and 589.80 is: 811.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.62 : 912.51 = 589.80 : x
  2. Step 2: Convert to fraction form
    663.62/912.51 = 589.80/x
  3. Step 3: Cross multiply
    663.62x = 912.51 × 589.80
  4. Step 4: Simplify right side
    663.62x = 538,198.40
  5. Step 5: Solve for x
    x = 538,198.40/663.62
  6. Step 6: Final answer
    x = 811.01

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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.