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Finding the Fourth Proportional to 632.07, 947.73 and 307.11

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Solution

The fourth proportional to 632.07, 947.73 and 307.11 is: 460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.07 : 947.73 = 307.11 : x
  2. Step 2: Convert to fraction form
    632.07/947.73 = 307.11/x
  3. Step 3: Cross multiply
    632.07x = 947.73 × 307.11
  4. Step 4: Simplify right side
    632.07x = 291,057.36
  5. Step 5: Solve for x
    x = 291,057.36/632.07
  6. Step 6: Final answer
    x = 460.48

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Similar ratio
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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.