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Finding the Fourth Proportional to 1,007.21, 1,510.33 and 787.28

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Solution

The fourth proportional to 1,007.21, 1,510.33 and 787.28 is: 1,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.21 : 1,510.33 = 787.28 : x
  2. Step 2: Convert to fraction form
    1,007.21/1,510.33 = 787.28/x
  3. Step 3: Cross multiply
    1,007.21x = 1,510.33 × 787.28
  4. Step 4: Simplify right side
    1,007.21x = 1,189,048.81
  5. Step 5: Solve for x
    x = 1,189,048.81/1,007.21
  6. Step 6: Final answer
    x = 1,180.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.