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Finding the Fourth Proportional to 1,569.43, 2,353.87 and 529.32

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Solution

The fourth proportional to 1,569.43, 2,353.87 and 529.32 is: 793.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.43 : 2,353.87 = 529.32 : x
  2. Step 2: Convert to fraction form
    1,569.43/2,353.87 = 529.32/x
  3. Step 3: Cross multiply
    1,569.43x = 2,353.87 × 529.32
  4. Step 4: Simplify right side
    1,569.43x = 1,245,950.47
  5. Step 5: Solve for x
    x = 1,245,950.47/1,569.43
  6. Step 6: Final answer
    x = 793.89

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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.