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Finding the Fourth Proportional to 1,450.26, 2,001.35 and 787.10

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Solution

The fourth proportional to 1,450.26, 2,001.35 and 787.10 is: 1,086.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.26 : 2,001.35 = 787.10 : x
  2. Step 2: Convert to fraction form
    1,450.26/2,001.35 = 787.10/x
  3. Step 3: Cross multiply
    1,450.26x = 2,001.35 × 787.10
  4. Step 4: Simplify right side
    1,450.26x = 1,575,248.64
  5. Step 5: Solve for x
    x = 1,575,248.64/1,450.26
  6. Step 6: Final answer
    x = 1,086.19

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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.