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Finding the Fourth Proportional to 1,370.48, 1,891.32 and 781.16

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Solution

The fourth proportional to 1,370.48, 1,891.32 and 781.16 is: 1,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.48 : 1,891.32 = 781.16 : x
  2. Step 2: Convert to fraction form
    1,370.48/1,891.32 = 781.16/x
  3. Step 3: Cross multiply
    1,370.48x = 1,891.32 × 781.16
  4. Step 4: Simplify right side
    1,370.48x = 1,477,423.53
  5. Step 5: Solve for x
    x = 1,477,423.53/1,370.48
  6. Step 6: Final answer
    x = 1,078.03

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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.