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Finding the Fourth Proportional to 1,665.48, 2,497.68 and 787.85

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Solution

The fourth proportional to 1,665.48, 2,497.68 and 787.85 is: 1,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.48 : 2,497.68 = 787.85 : x
  2. Step 2: Convert to fraction form
    1,665.48/2,497.68 = 787.85/x
  3. Step 3: Cross multiply
    1,665.48x = 2,497.68 × 787.85
  4. Step 4: Simplify right side
    1,665.48x = 1,967,784.70
  5. Step 5: Solve for x
    x = 1,967,784.70/1,665.48
  6. Step 6: Final answer
    x = 1,181.51

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1.5x scale

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.