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Finding the Fourth Proportional to 1,529.98, 2,294.41 and 529.07

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Solution

The fourth proportional to 1,529.98, 2,294.41 and 529.07 is: 793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.98 : 2,294.41 = 529.07 : x
  2. Step 2: Convert to fraction form
    1,529.98/2,294.41 = 529.07/x
  3. Step 3: Cross multiply
    1,529.98x = 2,294.41 × 529.07
  4. Step 4: Simplify right side
    1,529.98x = 1,213,907.91
  5. Step 5: Solve for x
    x = 1,213,907.91/1,529.98
  6. Step 6: Final answer
    x = 793.41

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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.