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Finding the Fourth Proportional to 856.66, 1,284.04 and 490.64

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Solution

The fourth proportional to 856.66, 1,284.04 and 490.64 is: 735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.66 : 1,284.04 = 490.64 : x
  2. Step 2: Convert to fraction form
    856.66/1,284.04 = 490.64/x
  3. Step 3: Cross multiply
    856.66x = 1,284.04 × 490.64
  4. Step 4: Simplify right side
    856.66x = 630,001.39
  5. Step 5: Solve for x
    x = 630,001.39/856.66
  6. Step 6: Final answer
    x = 735.42

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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.