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Finding the Fourth Proportional to 1,518.70, 2,277.96 and 894.35

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Solution

The fourth proportional to 1,518.70, 2,277.96 and 894.35 is: 1,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.70 : 2,277.96 = 894.35 : x
  2. Step 2: Convert to fraction form
    1,518.70/2,277.96 = 894.35/x
  3. Step 3: Cross multiply
    1,518.70x = 2,277.96 × 894.35
  4. Step 4: Simplify right side
    1,518.70x = 2,037,293.53
  5. Step 5: Solve for x
    x = 2,037,293.53/1,518.70
  6. Step 6: Final answer
    x = 1,341.47

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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.