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Finding the Fourth Proportional to 856.09, 1,284.45 and 445.51

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Solution

The fourth proportional to 856.09, 1,284.45 and 445.51 is: 668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.09 : 1,284.45 = 445.51 : x
  2. Step 2: Convert to fraction form
    856.09/1,284.45 = 445.51/x
  3. Step 3: Cross multiply
    856.09x = 1,284.45 × 445.51
  4. Step 4: Simplify right side
    856.09x = 572,235.32
  5. Step 5: Solve for x
    x = 572,235.32/856.09
  6. Step 6: Final answer
    x = 668.43

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1.5x scale

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.