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Finding the Fourth Proportional to 1,663.17, 2,494.74 and 637.17

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Solution

The fourth proportional to 1,663.17, 2,494.74 and 637.17 is: 955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.17 : 2,494.74 = 637.17 : x
  2. Step 2: Convert to fraction form
    1,663.17/2,494.74 = 637.17/x
  3. Step 3: Cross multiply
    1,663.17x = 2,494.74 × 637.17
  4. Step 4: Simplify right side
    1,663.17x = 1,589,581.32
  5. Step 5: Solve for x
    x = 1,589,581.32/1,663.17
  6. Step 6: Final answer
    x = 955.75

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1.5x scale

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.