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Finding the Fourth Proportional to 614.84, 847.76 and 490.40

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Solution

The fourth proportional to 614.84, 847.76 and 490.40 is: 676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.84 : 847.76 = 490.40 : x
  2. Step 2: Convert to fraction form
    614.84/847.76 = 490.40/x
  3. Step 3: Cross multiply
    614.84x = 847.76 × 490.40
  4. Step 4: Simplify right side
    614.84x = 415,734.81
  5. Step 5: Solve for x
    x = 415,734.81/614.84
  6. Step 6: Final answer
    x = 676.17

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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.