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Finding the Fourth Proportional to 1,423.81, 2,136.03 and 436.63

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Solution

The fourth proportional to 1,423.81, 2,136.03 and 436.63 is: 655.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.81 : 2,136.03 = 436.63 : x
  2. Step 2: Convert to fraction form
    1,423.81/2,136.03 = 436.63/x
  3. Step 3: Cross multiply
    1,423.81x = 2,136.03 × 436.63
  4. Step 4: Simplify right side
    1,423.81x = 932,641.92
  5. Step 5: Solve for x
    x = 932,641.92/1,423.81
  6. Step 6: Final answer
    x = 655.03

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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.