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Finding the Fourth Proportional to 973.11, 1,459.42 and 323.83

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Solution

The fourth proportional to 973.11, 1,459.42 and 323.83 is: 485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.11 : 1,459.42 = 323.83 : x
  2. Step 2: Convert to fraction form
    973.11/1,459.42 = 323.83/x
  3. Step 3: Cross multiply
    973.11x = 1,459.42 × 323.83
  4. Step 4: Simplify right side
    973.11x = 472,604.99
  5. Step 5: Solve for x
    x = 472,604.99/973.11
  6. Step 6: Final answer
    x = 485.66

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Double scale
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1.5x scale

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.