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Finding the Fourth Proportional to 1,412.81, 2,119.26 and 535.22

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Solution

The fourth proportional to 1,412.81, 2,119.26 and 535.22 is: 802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.81 : 2,119.26 = 535.22 : x
  2. Step 2: Convert to fraction form
    1,412.81/2,119.26 = 535.22/x
  3. Step 3: Cross multiply
    1,412.81x = 2,119.26 × 535.22
  4. Step 4: Simplify right side
    1,412.81x = 1,134,259.74
  5. Step 5: Solve for x
    x = 1,134,259.74/1,412.81
  6. Step 6: Final answer
    x = 802.84

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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.