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Finding the Fourth Proportional to 647.69, 894.03 and 438.32

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Solution

The fourth proportional to 647.69, 894.03 and 438.32 is: 605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.69 : 894.03 = 438.32 : x
  2. Step 2: Convert to fraction form
    647.69/894.03 = 438.32/x
  3. Step 3: Cross multiply
    647.69x = 894.03 × 438.32
  4. Step 4: Simplify right side
    647.69x = 391,866.76
  5. Step 5: Solve for x
    x = 391,866.76/647.69
  6. Step 6: Final answer
    x = 605.03

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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.