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Finding the Fourth Proportional to 710.82, 1,065.31 and 320.40

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Solution

The fourth proportional to 710.82, 1,065.31 and 320.40 is: 480.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.82 : 1,065.31 = 320.40 : x
  2. Step 2: Convert to fraction form
    710.82/1,065.31 = 320.40/x
  3. Step 3: Cross multiply
    710.82x = 1,065.31 × 320.40
  4. Step 4: Simplify right side
    710.82x = 341,325.32
  5. Step 5: Solve for x
    x = 341,325.32/710.82
  6. Step 6: Final answer
    x = 480.19

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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.