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Finding the Fourth Proportional to 507.84, 699.10 and 376.60

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Solution

The fourth proportional to 507.84, 699.10 and 376.60 is: 518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.84 : 699.10 = 376.60 : x
  2. Step 2: Convert to fraction form
    507.84/699.10 = 376.60/x
  3. Step 3: Cross multiply
    507.84x = 699.10 × 376.60
  4. Step 4: Simplify right side
    507.84x = 263,281.06
  5. Step 5: Solve for x
    x = 263,281.06/507.84
  6. Step 6: Final answer
    x = 518.43

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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.