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Finding the Fourth Proportional to 971.67, 1,339.34 and 656.83

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Solution

The fourth proportional to 971.67, 1,339.34 and 656.83 is: 905.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.67 : 1,339.34 = 656.83 : x
  2. Step 2: Convert to fraction form
    971.67/1,339.34 = 656.83/x
  3. Step 3: Cross multiply
    971.67x = 1,339.34 × 656.83
  4. Step 4: Simplify right side
    971.67x = 879,718.69
  5. Step 5: Solve for x
    x = 879,718.69/971.67
  6. Step 6: Final answer
    x = 905.37

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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.