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Finding the Fourth Proportional to 647.98, 894.21 and 368.21

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Solution

The fourth proportional to 647.98, 894.21 and 368.21 is: 508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.98 : 894.21 = 368.21 : x
  2. Step 2: Convert to fraction form
    647.98/894.21 = 368.21/x
  3. Step 3: Cross multiply
    647.98x = 894.21 × 368.21
  4. Step 4: Simplify right side
    647.98x = 329,257.06
  5. Step 5: Solve for x
    x = 329,257.06/647.98
  6. Step 6: Final answer
    x = 508.13

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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.