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Finding the Fourth Proportional to 1,412.53, 2,119.01 and 535.09

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Solution

The fourth proportional to 1,412.53, 2,119.01 and 535.09 is: 802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.53 : 2,119.01 = 535.09 : x
  2. Step 2: Convert to fraction form
    1,412.53/2,119.01 = 535.09/x
  3. Step 3: Cross multiply
    1,412.53x = 2,119.01 × 535.09
  4. Step 4: Simplify right side
    1,412.53x = 1,133,861.06
  5. Step 5: Solve for x
    x = 1,133,861.06/1,412.53
  6. Step 6: Final answer
    x = 802.72

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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.