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Finding the Fourth Proportional to 710.14, 1,064.85 and 325.06

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Solution

The fourth proportional to 710.14, 1,064.85 and 325.06 is: 487.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.14 : 1,064.85 = 325.06 : x
  2. Step 2: Convert to fraction form
    710.14/1,064.85 = 325.06/x
  3. Step 3: Cross multiply
    710.14x = 1,064.85 × 325.06
  4. Step 4: Simplify right side
    710.14x = 346,143.62
  5. Step 5: Solve for x
    x = 346,143.62/710.14
  6. Step 6: Final answer
    x = 487.43

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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.