Home / 1,192.78-1,787.82-535.19

Finding the Fourth Proportional to 1,192.78, 1,787.82 and 535.19

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Solution

The fourth proportional to 1,192.78, 1,787.82 and 535.19 is: 802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.78 : 1,787.82 = 535.19 : x
  2. Step 2: Convert to fraction form
    1,192.78/1,787.82 = 535.19/x
  3. Step 3: Cross multiply
    1,192.78x = 1,787.82 × 535.19
  4. Step 4: Simplify right side
    1,192.78x = 956,823.39
  5. Step 5: Solve for x
    x = 956,823.39/1,192.78
  6. Step 6: Final answer
    x = 802.18

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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.