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Finding the Fourth Proportional to 631.76, 951.62 and 564.08

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Solution

The fourth proportional to 631.76, 951.62 and 564.08 is: 849.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.76 : 951.62 = 564.08 : x
  2. Step 2: Convert to fraction form
    631.76/951.62 = 564.08/x
  3. Step 3: Cross multiply
    631.76x = 951.62 × 564.08
  4. Step 4: Simplify right side
    631.76x = 536,789.81
  5. Step 5: Solve for x
    x = 536,789.81/631.76
  6. Step 6: Final answer
    x = 849.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.