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Finding the Fourth Proportional to 1,423.78, 2,136.30 and 694.06

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Solution

The fourth proportional to 1,423.78, 2,136.30 and 694.06 is: 1,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.78 : 2,136.30 = 694.06 : x
  2. Step 2: Convert to fraction form
    1,423.78/2,136.30 = 694.06/x
  3. Step 3: Cross multiply
    1,423.78x = 2,136.30 × 694.06
  4. Step 4: Simplify right side
    1,423.78x = 1,482,720.38
  5. Step 5: Solve for x
    x = 1,482,720.38/1,423.78
  6. Step 6: Final answer
    x = 1,041.40

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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.