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Finding the Fourth Proportional to 1,400.43, 2,100.35 and 522.77

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Solution

The fourth proportional to 1,400.43, 2,100.35 and 522.77 is: 784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.43 : 2,100.35 = 522.77 : x
  2. Step 2: Convert to fraction form
    1,400.43/2,100.35 = 522.77/x
  3. Step 3: Cross multiply
    1,400.43x = 2,100.35 × 522.77
  4. Step 4: Simplify right side
    1,400.43x = 1,097,992.30
  5. Step 5: Solve for x
    x = 1,097,992.30/1,400.43
  6. Step 6: Final answer
    x = 784.04

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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.