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Finding the Fourth Proportional to 1,670.52, 2,501.13 and 844.75

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Solution

The fourth proportional to 1,670.52, 2,501.13 and 844.75 is: 1,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.52 : 2,501.13 = 844.75 : x
  2. Step 2: Convert to fraction form
    1,670.52/2,501.13 = 844.75/x
  3. Step 3: Cross multiply
    1,670.52x = 2,501.13 × 844.75
  4. Step 4: Simplify right side
    1,670.52x = 2,112,817.04
  5. Step 5: Solve for x
    x = 2,112,817.04/1,670.52
  6. Step 6: Final answer
    x = 1,264.76

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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.