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Finding the Fourth Proportional to 704.61, 1,055.30 and 680.31

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Solution

The fourth proportional to 704.61, 1,055.30 and 680.31 is: 1,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.61 : 1,055.30 = 680.31 : x
  2. Step 2: Convert to fraction form
    704.61/1,055.30 = 680.31/x
  3. Step 3: Cross multiply
    704.61x = 1,055.30 × 680.31
  4. Step 4: Simplify right side
    704.61x = 717,927.74
  5. Step 5: Solve for x
    x = 717,927.74/704.61
  6. Step 6: Final answer
    x = 1,018.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.