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Finding the Fourth Proportional to 1,553.68, 2,328.32 and 860.67

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Solution

The fourth proportional to 1,553.68, 2,328.32 and 860.67 is: 1,289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.68 : 2,328.32 = 860.67 : x
  2. Step 2: Convert to fraction form
    1,553.68/2,328.32 = 860.67/x
  3. Step 3: Cross multiply
    1,553.68x = 2,328.32 × 860.67
  4. Step 4: Simplify right side
    1,553.68x = 2,003,905.68
  5. Step 5: Solve for x
    x = 2,003,905.68/1,553.68
  6. Step 6: Final answer
    x = 1,289.78

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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.