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Finding the Fourth Proportional to 487.14, 733.62 and 427.01

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Solution

The fourth proportional to 487.14, 733.62 and 427.01 is: 643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.14 : 733.62 = 427.01 : x
  2. Step 2: Convert to fraction form
    487.14/733.62 = 427.01/x
  3. Step 3: Cross multiply
    487.14x = 733.62 × 427.01
  4. Step 4: Simplify right side
    487.14x = 313,259.41
  5. Step 5: Solve for x
    x = 313,259.41/487.14
  6. Step 6: Final answer
    x = 643.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.