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Finding the Fourth Proportional to 947.06, 1,308.17 and 651.81

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Solution

The fourth proportional to 947.06, 1,308.17 and 651.81 is: 900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.06 : 1,308.17 = 651.81 : x
  2. Step 2: Convert to fraction form
    947.06/1,308.17 = 651.81/x
  3. Step 3: Cross multiply
    947.06x = 1,308.17 × 651.81
  4. Step 4: Simplify right side
    947.06x = 852,678.29
  5. Step 5: Solve for x
    x = 852,678.29/947.06
  6. Step 6: Final answer
    x = 900.34

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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.