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Finding the Fourth Proportional to 440.84, 607.65 and 347.44

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Solution

The fourth proportional to 440.84, 607.65 and 347.44 is: 478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.84 : 607.65 = 347.44 : x
  2. Step 2: Convert to fraction form
    440.84/607.65 = 347.44/x
  3. Step 3: Cross multiply
    440.84x = 607.65 × 347.44
  4. Step 4: Simplify right side
    440.84x = 211,118.88
  5. Step 5: Solve for x
    x = 211,118.88/440.84
  6. Step 6: Final answer
    x = 478.91

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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.