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Finding the Fourth Proportional to 1,679.71, 2,317.96 and 933.63

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Solution

The fourth proportional to 1,679.71, 2,317.96 and 933.63 is: 1,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.71 : 2,317.96 = 933.63 : x
  2. Step 2: Convert to fraction form
    1,679.71/2,317.96 = 933.63/x
  3. Step 3: Cross multiply
    1,679.71x = 2,317.96 × 933.63
  4. Step 4: Simplify right side
    1,679.71x = 2,164,116.99
  5. Step 5: Solve for x
    x = 2,164,116.99/1,679.71
  6. Step 6: Final answer
    x = 1,288.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.