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Finding the Fourth Proportional to 1,642.59, 2,464.94 and 655.24

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Solution

The fourth proportional to 1,642.59, 2,464.94 and 655.24 is: 983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.59 : 2,464.94 = 655.24 : x
  2. Step 2: Convert to fraction form
    1,642.59/2,464.94 = 655.24/x
  3. Step 3: Cross multiply
    1,642.59x = 2,464.94 × 655.24
  4. Step 4: Simplify right side
    1,642.59x = 1,615,115.14
  5. Step 5: Solve for x
    x = 1,615,115.14/1,642.59
  6. Step 6: Final answer
    x = 983.27

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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.