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Finding the Fourth Proportional to 1,733.43, 2,392.20 and 947.55

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Solution

The fourth proportional to 1,733.43, 2,392.20 and 947.55 is: 1,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.43 : 2,392.20 = 947.55 : x
  2. Step 2: Convert to fraction form
    1,733.43/2,392.20 = 947.55/x
  3. Step 3: Cross multiply
    1,733.43x = 2,392.20 × 947.55
  4. Step 4: Simplify right side
    1,733.43x = 2,266,729.11
  5. Step 5: Solve for x
    x = 2,266,729.11/1,733.43
  6. Step 6: Final answer
    x = 1,307.66

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