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Finding the Fourth Proportional to 2,310.38, 3,464.54 and 666.53

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Solution

The fourth proportional to 2,310.38, 3,464.54 and 666.53 is: 999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.38 : 3,464.54 = 666.53 : x
  2. Step 2: Convert to fraction form
    2,310.38/3,464.54 = 666.53/x
  3. Step 3: Cross multiply
    2,310.38x = 3,464.54 × 666.53
  4. Step 4: Simplify right side
    2,310.38x = 2,309,225.17
  5. Step 5: Solve for x
    x = 2,309,225.17/2,310.38
  6. Step 6: Final answer
    x = 999.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.