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Finding the Fourth Proportional to 648.89, 883.49 and 646.84

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Solution

The fourth proportional to 648.89, 883.49 and 646.84 is: 880.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.89 : 883.49 = 646.84 : x
  2. Step 2: Convert to fraction form
    648.89/883.49 = 646.84/x
  3. Step 3: Cross multiply
    648.89x = 883.49 × 646.84
  4. Step 4: Simplify right side
    648.89x = 571,476.67
  5. Step 5: Solve for x
    x = 571,476.67/648.89
  6. Step 6: Final answer
    x = 880.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.