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Finding the Fourth Proportional to 971.22, 1,462.32 and 856.41

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Solution

The fourth proportional to 971.22, 1,462.32 and 856.41 is: 1,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.22 : 1,462.32 = 856.41 : x
  2. Step 2: Convert to fraction form
    971.22/1,462.32 = 856.41/x
  3. Step 3: Cross multiply
    971.22x = 1,462.32 × 856.41
  4. Step 4: Simplify right side
    971.22x = 1,252,345.47
  5. Step 5: Solve for x
    x = 1,252,345.47/971.22
  6. Step 6: Final answer
    x = 1,289.46

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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.