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Finding the Fourth Proportional to 897.45, 1,346.06 and 320.25

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Solution

The fourth proportional to 897.45, 1,346.06 and 320.25 is: 480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.45 : 1,346.06 = 320.25 : x
  2. Step 2: Convert to fraction form
    897.45/1,346.06 = 320.25/x
  3. Step 3: Cross multiply
    897.45x = 1,346.06 × 320.25
  4. Step 4: Simplify right side
    897.45x = 431,074.11
  5. Step 5: Solve for x
    x = 431,074.11/897.45
  6. Step 6: Final answer
    x = 480.33

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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.