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Finding the Fourth Proportional to 1,219.32, 1,829.10 and 353.64

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Solution

The fourth proportional to 1,219.32, 1,829.10 and 353.64 is: 530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.32 : 1,829.10 = 353.64 : x
  2. Step 2: Convert to fraction form
    1,219.32/1,829.10 = 353.64/x
  3. Step 3: Cross multiply
    1,219.32x = 1,829.10 × 353.64
  4. Step 4: Simplify right side
    1,219.32x = 646,842.92
  5. Step 5: Solve for x
    x = 646,842.92/1,219.32
  6. Step 6: Final answer
    x = 530.49

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Double scale
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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.