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Finding the Fourth Proportional to 857.34, 1,285.70 and 330.12

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Solution

The fourth proportional to 857.34, 1,285.70 and 330.12 is: 495.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.34 : 1,285.70 = 330.12 : x
  2. Step 2: Convert to fraction form
    857.34/1,285.70 = 330.12/x
  3. Step 3: Cross multiply
    857.34x = 1,285.70 × 330.12
  4. Step 4: Simplify right side
    857.34x = 424,433.63
  5. Step 5: Solve for x
    x = 424,433.63/857.34
  6. Step 6: Final answer
    x = 495.06

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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.