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Finding the Fourth Proportional to 2,309.60, 3,464.40 and 666.16

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Solution

The fourth proportional to 2,309.60, 3,464.40 and 666.16 is: 999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.60 : 3,464.40 = 666.16 : x
  2. Step 2: Convert to fraction form
    2,309.60/3,464.40 = 666.16/x
  3. Step 3: Cross multiply
    2,309.60x = 3,464.40 × 666.16
  4. Step 4: Simplify right side
    2,309.60x = 2,307,844.70
  5. Step 5: Solve for x
    x = 2,307,844.70/2,309.60
  6. Step 6: Final answer
    x = 999.24

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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.