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Finding the Fourth Proportional to 1,325.89, 1,989.86 and 710.11

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Solution

The fourth proportional to 1,325.89, 1,989.86 and 710.11 is: 1,065.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.89 : 1,989.86 = 710.11 : x
  2. Step 2: Convert to fraction form
    1,325.89/1,989.86 = 710.11/x
  3. Step 3: Cross multiply
    1,325.89x = 1,989.86 × 710.11
  4. Step 4: Simplify right side
    1,325.89x = 1,413,018.42
  5. Step 5: Solve for x
    x = 1,413,018.42/1,325.89
  6. Step 6: Final answer
    x = 1,065.71

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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.