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Finding the Fourth Proportional to 1,373.83, 1,895.74 and 784.25

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Solution

The fourth proportional to 1,373.83, 1,895.74 and 784.25 is: 1,082.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.83 : 1,895.74 = 784.25 : x
  2. Step 2: Convert to fraction form
    1,373.83/1,895.74 = 784.25/x
  3. Step 3: Cross multiply
    1,373.83x = 1,895.74 × 784.25
  4. Step 4: Simplify right side
    1,373.83x = 1,486,734.10
  5. Step 5: Solve for x
    x = 1,486,734.10/1,373.83
  6. Step 6: Final answer
    x = 1,082.18

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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.