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Finding the Fourth Proportional to 607.56, 840.15 and 460.14

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Solution

The fourth proportional to 607.56, 840.15 and 460.14 is: 636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.56 : 840.15 = 460.14 : x
  2. Step 2: Convert to fraction form
    607.56/840.15 = 460.14/x
  3. Step 3: Cross multiply
    607.56x = 840.15 × 460.14
  4. Step 4: Simplify right side
    607.56x = 386,586.62
  5. Step 5: Solve for x
    x = 386,586.62/607.56
  6. Step 6: Final answer
    x = 636.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.