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Finding the Fourth Proportional to 1,019.23, 1,403.90 and 951.19

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Solution

The fourth proportional to 1,019.23, 1,403.90 and 951.19 is: 1,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.23 : 1,403.90 = 951.19 : x
  2. Step 2: Convert to fraction form
    1,019.23/1,403.90 = 951.19/x
  3. Step 3: Cross multiply
    1,019.23x = 1,403.90 × 951.19
  4. Step 4: Simplify right side
    1,019.23x = 1,335,374.51
  5. Step 5: Solve for x
    x = 1,335,374.51/1,019.23
  6. Step 6: Final answer
    x = 1,310.18

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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.