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Finding the Fourth Proportional to 1,328.02, 1,832.97 and 861.46

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Solution

The fourth proportional to 1,328.02, 1,832.97 and 861.46 is: 1,189.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.02 : 1,832.97 = 861.46 : x
  2. Step 2: Convert to fraction form
    1,328.02/1,832.97 = 861.46/x
  3. Step 3: Cross multiply
    1,328.02x = 1,832.97 × 861.46
  4. Step 4: Simplify right side
    1,328.02x = 1,579,030.34
  5. Step 5: Solve for x
    x = 1,579,030.34/1,328.02
  6. Step 6: Final answer
    x = 1,189.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.