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Finding the Fourth Proportional to 856.63, 1,283.82 and 394.35

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Solution

The fourth proportional to 856.63, 1,283.82 and 394.35 is: 591.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.63 : 1,283.82 = 394.35 : x
  2. Step 2: Convert to fraction form
    856.63/1,283.82 = 394.35/x
  3. Step 3: Cross multiply
    856.63x = 1,283.82 × 394.35
  4. Step 4: Simplify right side
    856.63x = 506,274.42
  5. Step 5: Solve for x
    x = 506,274.42/856.63
  6. Step 6: Final answer
    x = 591.01

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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.