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Finding the Fourth Proportional to 971.32, 1,339.99 and 656.48

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Solution

The fourth proportional to 971.32, 1,339.99 and 656.48 is: 905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.32 : 1,339.99 = 656.48 : x
  2. Step 2: Convert to fraction form
    971.32/1,339.99 = 656.48/x
  3. Step 3: Cross multiply
    971.32x = 1,339.99 × 656.48
  4. Step 4: Simplify right side
    971.32x = 879,678.34
  5. Step 5: Solve for x
    x = 879,678.34/971.32
  6. Step 6: Final answer
    x = 905.65

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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.