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Finding the Fourth Proportional to 1,860.63, 2,790.18 and 690.71

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Solution

The fourth proportional to 1,860.63, 2,790.18 and 690.71 is: 1,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.63 : 2,790.18 = 690.71 : x
  2. Step 2: Convert to fraction form
    1,860.63/2,790.18 = 690.71/x
  3. Step 3: Cross multiply
    1,860.63x = 2,790.18 × 690.71
  4. Step 4: Simplify right side
    1,860.63x = 1,927,191.28
  5. Step 5: Solve for x
    x = 1,927,191.28/1,860.63
  6. Step 6: Final answer
    x = 1,035.77

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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.