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Finding the Fourth Proportional to 607.63, 910.08 and 282.32

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Solution

The fourth proportional to 607.63, 910.08 and 282.32 is: 422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.63 : 910.08 = 282.32 : x
  2. Step 2: Convert to fraction form
    607.63/910.08 = 282.32/x
  3. Step 3: Cross multiply
    607.63x = 910.08 × 282.32
  4. Step 4: Simplify right side
    607.63x = 256,927.82
  5. Step 5: Solve for x
    x = 256,927.82/607.63
  6. Step 6: Final answer
    x = 422.84

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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.