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Finding the Fourth Proportional to 710.33, 1,065.14 and 325.25

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Solution

The fourth proportional to 710.33, 1,065.14 and 325.25 is: 487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.33 : 1,065.14 = 325.25 : x
  2. Step 2: Convert to fraction form
    710.33/1,065.14 = 325.25/x
  3. Step 3: Cross multiply
    710.33x = 1,065.14 × 325.25
  4. Step 4: Simplify right side
    710.33x = 346,435.16
  5. Step 5: Solve for x
    x = 346,435.16/710.33
  6. Step 6: Final answer
    x = 487.71

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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.