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Finding the Fourth Proportional to 857.30, 1,285.97 and 370.35

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Solution

The fourth proportional to 857.30, 1,285.97 and 370.35 is: 555.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.30 : 1,285.97 = 370.35 : x
  2. Step 2: Convert to fraction form
    857.30/1,285.97 = 370.35/x
  3. Step 3: Cross multiply
    857.30x = 1,285.97 × 370.35
  4. Step 4: Simplify right side
    857.30x = 476,257.14
  5. Step 5: Solve for x
    x = 476,257.14/857.30
  6. Step 6: Final answer
    x = 555.53

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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.