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Finding the Fourth Proportional to 1,325.29, 1,829.51 and 994.81

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Solution

The fourth proportional to 1,325.29, 1,829.51 and 994.81 is: 1,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.29 : 1,829.51 = 994.81 : x
  2. Step 2: Convert to fraction form
    1,325.29/1,829.51 = 994.81/x
  3. Step 3: Cross multiply
    1,325.29x = 1,829.51 × 994.81
  4. Step 4: Simplify right side
    1,325.29x = 1,820,014.84
  5. Step 5: Solve for x
    x = 1,820,014.84/1,325.29
  6. Step 6: Final answer
    x = 1,373.30

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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.