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Finding the Fourth Proportional to 647.67, 894.06 and 490.35

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Solution

The fourth proportional to 647.67, 894.06 and 490.35 is: 676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.67 : 894.06 = 490.35 : x
  2. Step 2: Convert to fraction form
    647.67/894.06 = 490.35/x
  3. Step 3: Cross multiply
    647.67x = 894.06 × 490.35
  4. Step 4: Simplify right side
    647.67x = 438,402.70
  5. Step 5: Solve for x
    x = 438,402.70/647.67
  6. Step 6: Final answer
    x = 676.89

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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.