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Finding the Fourth Proportional to 631.59, 947.99 and 591.80

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Solution

The fourth proportional to 631.59, 947.99 and 591.80 is: 888.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.59 : 947.99 = 591.80 : x
  2. Step 2: Convert to fraction form
    631.59/947.99 = 591.80/x
  3. Step 3: Cross multiply
    631.59x = 947.99 × 591.80
  4. Step 4: Simplify right side
    631.59x = 561,012.78
  5. Step 5: Solve for x
    x = 561,012.78/631.59
  6. Step 6: Final answer
    x = 888.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.