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Finding the Fourth Proportional to 2,459.58, 3,688.56 and 815.64

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Solution

The fourth proportional to 2,459.58, 3,688.56 and 815.64 is: 1,223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.58 : 3,688.56 = 815.64 : x
  2. Step 2: Convert to fraction form
    2,459.58/3,688.56 = 815.64/x
  3. Step 3: Cross multiply
    2,459.58x = 3,688.56 × 815.64
  4. Step 4: Simplify right side
    2,459.58x = 3,008,537.08
  5. Step 5: Solve for x
    x = 3,008,537.08/2,459.58
  6. Step 6: Final answer
    x = 1,223.19

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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.