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Finding the Fourth Proportional to 631.71, 947.57 and 357.80

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Solution

The fourth proportional to 631.71, 947.57 and 357.80 is: 536.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.71 : 947.57 = 357.80 : x
  2. Step 2: Convert to fraction form
    631.71/947.57 = 357.80/x
  3. Step 3: Cross multiply
    631.71x = 947.57 × 357.80
  4. Step 4: Simplify right side
    631.71x = 339,034.02
  5. Step 5: Solve for x
    x = 339,034.02/631.71
  6. Step 6: Final answer
    x = 536.69

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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.