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Finding the Fourth Proportional to 1,555.81, 2,333.85 and 678.34

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Solution

The fourth proportional to 1,555.81, 2,333.85 and 678.34 is: 1,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.81 : 2,333.85 = 678.34 : x
  2. Step 2: Convert to fraction form
    1,555.81/2,333.85 = 678.34/x
  3. Step 3: Cross multiply
    1,555.81x = 2,333.85 × 678.34
  4. Step 4: Simplify right side
    1,555.81x = 1,583,143.81
  5. Step 5: Solve for x
    x = 1,583,143.81/1,555.81
  6. Step 6: Final answer
    x = 1,017.57

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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.