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Finding the Fourth Proportional to 874.88, 1,207.47 and 664.71

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Solution

The fourth proportional to 874.88, 1,207.47 and 664.71 is: 917.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.88 : 1,207.47 = 664.71 : x
  2. Step 2: Convert to fraction form
    874.88/1,207.47 = 664.71/x
  3. Step 3: Cross multiply
    874.88x = 1,207.47 × 664.71
  4. Step 4: Simplify right side
    874.88x = 802,614.06
  5. Step 5: Solve for x
    x = 802,614.06/874.88
  6. Step 6: Final answer
    x = 917.40

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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.