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Finding the Fourth Proportional to 1,670.08, 2,505.36 and 515.56

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Solution

The fourth proportional to 1,670.08, 2,505.36 and 515.56 is: 773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.08 : 2,505.36 = 515.56 : x
  2. Step 2: Convert to fraction form
    1,670.08/2,505.36 = 515.56/x
  3. Step 3: Cross multiply
    1,670.08x = 2,505.36 × 515.56
  4. Step 4: Simplify right side
    1,670.08x = 1,291,663.40
  5. Step 5: Solve for x
    x = 1,291,663.40/1,670.08
  6. Step 6: Final answer
    x = 773.41

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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.