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Finding the Fourth Proportional to 648.84, 977.10 and 546.78

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Solution

The fourth proportional to 648.84, 977.10 and 546.78 is: 823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.84 : 977.10 = 546.78 : x
  2. Step 2: Convert to fraction form
    648.84/977.10 = 546.78/x
  3. Step 3: Cross multiply
    648.84x = 977.10 × 546.78
  4. Step 4: Simplify right side
    648.84x = 534,258.74
  5. Step 5: Solve for x
    x = 534,258.74/648.84
  6. Step 6: Final answer
    x = 823.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.