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Finding the Fourth Proportional to 952.19, 1,429.61 and 490.30

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Solution

The fourth proportional to 952.19, 1,429.61 and 490.30 is: 736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.19 : 1,429.61 = 490.30 : x
  2. Step 2: Convert to fraction form
    952.19/1,429.61 = 490.30/x
  3. Step 3: Cross multiply
    952.19x = 1,429.61 × 490.30
  4. Step 4: Simplify right side
    952.19x = 700,931.76
  5. Step 5: Solve for x
    x = 700,931.76/952.19
  6. Step 6: Final answer
    x = 736.13

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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.