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Finding the Fourth Proportional to 719.91, 1,083.74 and 652.86

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Solution

The fourth proportional to 719.91, 1,083.74 and 652.86 is: 982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.91 : 1,083.74 = 652.86 : x
  2. Step 2: Convert to fraction form
    719.91/1,083.74 = 652.86/x
  3. Step 3: Cross multiply
    719.91x = 1,083.74 × 652.86
  4. Step 4: Simplify right side
    719.91x = 707,527.23
  5. Step 5: Solve for x
    x = 707,527.23/719.91
  6. Step 6: Final answer
    x = 982.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.