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Finding the Fourth Proportional to 1,490.06, 2,234.96 and 565.62

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Solution

The fourth proportional to 1,490.06, 2,234.96 and 565.62 is: 848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.06 : 2,234.96 = 565.62 : x
  2. Step 2: Convert to fraction form
    1,490.06/2,234.96 = 565.62/x
  3. Step 3: Cross multiply
    1,490.06x = 2,234.96 × 565.62
  4. Step 4: Simplify right side
    1,490.06x = 1,264,138.08
  5. Step 5: Solve for x
    x = 1,264,138.08/1,490.06
  6. Step 6: Final answer
    x = 848.38

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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.