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Finding the Fourth Proportional to 857.04, 1,285.92 and 394.86

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Solution

The fourth proportional to 857.04, 1,285.92 and 394.86 is: 592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.04 : 1,285.92 = 394.86 : x
  2. Step 2: Convert to fraction form
    857.04/1,285.92 = 394.86/x
  3. Step 3: Cross multiply
    857.04x = 1,285.92 × 394.86
  4. Step 4: Simplify right side
    857.04x = 507,758.37
  5. Step 5: Solve for x
    x = 507,758.37/857.04
  6. Step 6: Final answer
    x = 592.46

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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.