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Finding the Fourth Proportional to 704.90, 972.74 and 410.26

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Solution

The fourth proportional to 704.90, 972.74 and 410.26 is: 566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.90 : 972.74 = 410.26 : x
  2. Step 2: Convert to fraction form
    704.90/972.74 = 410.26/x
  3. Step 3: Cross multiply
    704.90x = 972.74 × 410.26
  4. Step 4: Simplify right side
    704.90x = 399,076.31
  5. Step 5: Solve for x
    x = 399,076.31/704.90
  6. Step 6: Final answer
    x = 566.15

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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.