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Finding the Fourth Proportional to 857.04, 1,284.12 and 394.14

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Solution

The fourth proportional to 857.04, 1,284.12 and 394.14 is: 590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.04 : 1,284.12 = 394.14 : x
  2. Step 2: Convert to fraction form
    857.04/1,284.12 = 394.14/x
  3. Step 3: Cross multiply
    857.04x = 1,284.12 × 394.14
  4. Step 4: Simplify right side
    857.04x = 506,123.06
  5. Step 5: Solve for x
    x = 506,123.06/857.04
  6. Step 6: Final answer
    x = 590.55

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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.