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Finding the Fourth Proportional to 1,649.52, 2,473.59 and 609.30

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Solution

The fourth proportional to 1,649.52, 2,473.59 and 609.30 is: 913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.52 : 2,473.59 = 609.30 : x
  2. Step 2: Convert to fraction form
    1,649.52/2,473.59 = 609.30/x
  3. Step 3: Cross multiply
    1,649.52x = 2,473.59 × 609.30
  4. Step 4: Simplify right side
    1,649.52x = 1,507,158.39
  5. Step 5: Solve for x
    x = 1,507,158.39/1,649.52
  6. Step 6: Final answer
    x = 913.70

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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.