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Finding the Fourth Proportional to 643.24, 887.36 and 407.23

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Solution

The fourth proportional to 643.24, 887.36 and 407.23 is: 561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.24 : 887.36 = 407.23 : x
  2. Step 2: Convert to fraction form
    643.24/887.36 = 407.23/x
  3. Step 3: Cross multiply
    643.24x = 887.36 × 407.23
  4. Step 4: Simplify right side
    643.24x = 361,355.36
  5. Step 5: Solve for x
    x = 361,355.36/643.24
  6. Step 6: Final answer
    x = 561.77

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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.