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Finding the Fourth Proportional to 1,095.98, 1,644.37 and 437.90

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Solution

The fourth proportional to 1,095.98, 1,644.37 and 437.90 is: 657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.98 : 1,644.37 = 437.90 : x
  2. Step 2: Convert to fraction form
    1,095.98/1,644.37 = 437.90/x
  3. Step 3: Cross multiply
    1,095.98x = 1,644.37 × 437.90
  4. Step 4: Simplify right side
    1,095.98x = 720,060.31
  5. Step 5: Solve for x
    x = 720,060.31/1,095.98
  6. Step 6: Final answer
    x = 657.00

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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.