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Finding the Fourth Proportional to 704.81, 971.70 and 578.31

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Solution

The fourth proportional to 704.81, 971.70 and 578.31 is: 797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.81 : 971.70 = 578.31 : x
  2. Step 2: Convert to fraction form
    704.81/971.70 = 578.31/x
  3. Step 3: Cross multiply
    704.81x = 971.70 × 578.31
  4. Step 4: Simplify right side
    704.81x = 561,938.25
  5. Step 5: Solve for x
    x = 561,938.25/704.81
  6. Step 6: Final answer
    x = 797.30

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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.