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Finding the Fourth Proportional to 1,014.38, 1,521.56 and 330.38

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Solution

The fourth proportional to 1,014.38, 1,521.56 and 330.38 is: 495.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.38 : 1,521.56 = 330.38 : x
  2. Step 2: Convert to fraction form
    1,014.38/1,521.56 = 330.38/x
  3. Step 3: Cross multiply
    1,014.38x = 1,521.56 × 330.38
  4. Step 4: Simplify right side
    1,014.38x = 502,692.99
  5. Step 5: Solve for x
    x = 502,692.99/1,014.38
  6. Step 6: Final answer
    x = 495.57

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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.