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Finding the Fourth Proportional to 1,663.84, 2,296.02 and 955.19

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Solution

The fourth proportional to 1,663.84, 2,296.02 and 955.19 is: 1,318.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.84 : 2,296.02 = 955.19 : x
  2. Step 2: Convert to fraction form
    1,663.84/2,296.02 = 955.19/x
  3. Step 3: Cross multiply
    1,663.84x = 2,296.02 × 955.19
  4. Step 4: Simplify right side
    1,663.84x = 2,193,135.34
  5. Step 5: Solve for x
    x = 2,193,135.34/1,663.84
  6. Step 6: Final answer
    x = 1,318.12

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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.