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Finding the Fourth Proportional to 487, 728.34 and 445.96

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Solution

The fourth proportional to 487, 728.34 and 445.96 is: 666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    487 : 728.34 = 445.96 : x
  2. Step 2: Convert to fraction form
    487/728.34 = 445.96/x
  3. Step 3: Cross multiply
    487x = 728.34 × 445.96
  4. Step 4: Simplify right side
    487x = 324,810.51
  5. Step 5: Solve for x
    x = 324,810.51/487
  6. Step 6: Final answer
    x = 666.96

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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.