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Finding the Fourth Proportional to 701.63, 1,045.62 and 680.52

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Solution

The fourth proportional to 701.63, 1,045.62 and 680.52 is: 1,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.63 : 1,045.62 = 680.52 : x
  2. Step 2: Convert to fraction form
    701.63/1,045.62 = 680.52/x
  3. Step 3: Cross multiply
    701.63x = 1,045.62 × 680.52
  4. Step 4: Simplify right side
    701.63x = 711,561.92
  5. Step 5: Solve for x
    x = 711,561.92/701.63
  6. Step 6: Final answer
    x = 1,014.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.