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Finding the Fourth Proportional to 1,719.55, 2,372.97 and 933.59

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Solution

The fourth proportional to 1,719.55, 2,372.97 and 933.59 is: 1,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.55 : 2,372.97 = 933.59 : x
  2. Step 2: Convert to fraction form
    1,719.55/2,372.97 = 933.59/x
  3. Step 3: Cross multiply
    1,719.55x = 2,372.97 × 933.59
  4. Step 4: Simplify right side
    1,719.55x = 2,215,381.60
  5. Step 5: Solve for x
    x = 2,215,381.60/1,719.55
  6. Step 6: Final answer
    x = 1,288.35

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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.