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Finding the Fourth Proportional to 1,856.59, 2,784.58 and 687.14

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Solution

The fourth proportional to 1,856.59, 2,784.58 and 687.14 is: 1,030.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.59 : 2,784.58 = 687.14 : x
  2. Step 2: Convert to fraction form
    1,856.59/2,784.58 = 687.14/x
  3. Step 3: Cross multiply
    1,856.59x = 2,784.58 × 687.14
  4. Step 4: Simplify right side
    1,856.59x = 1,913,396.30
  5. Step 5: Solve for x
    x = 1,913,396.30/1,856.59
  6. Step 6: Final answer
    x = 1,030.60

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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.