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Finding the Fourth Proportional to 1,322.94, 1,829.13 and 1,158.90

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Solution

The fourth proportional to 1,322.94, 1,829.13 and 1,158.90 is: 1,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.94 : 1,829.13 = 1,158.90 : x
  2. Step 2: Convert to fraction form
    1,322.94/1,829.13 = 1,158.90/x
  3. Step 3: Cross multiply
    1,322.94x = 1,829.13 × 1,158.90
  4. Step 4: Simplify right side
    1,322.94x = 2,119,778.76
  5. Step 5: Solve for x
    x = 2,119,778.76/1,322.94
  6. Step 6: Final answer
    x = 1,602.32

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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.