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Finding the Fourth Proportional to 1,848.35, 2,770.94 and 807.57

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Solution

The fourth proportional to 1,848.35, 2,770.94 and 807.57 is: 1,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.35 : 2,770.94 = 807.57 : x
  2. Step 2: Convert to fraction form
    1,848.35/2,770.94 = 807.57/x
  3. Step 3: Cross multiply
    1,848.35x = 2,770.94 × 807.57
  4. Step 4: Simplify right side
    1,848.35x = 2,237,723.98
  5. Step 5: Solve for x
    x = 2,237,723.98/1,848.35
  6. Step 6: Final answer
    x = 1,210.66

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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.