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Finding the Fourth Proportional to 1,068.65, 1,601.76 and 490.31

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Solution

The fourth proportional to 1,068.65, 1,601.76 and 490.31 is: 734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.65 : 1,601.76 = 490.31 : x
  2. Step 2: Convert to fraction form
    1,068.65/1,601.76 = 490.31/x
  3. Step 3: Cross multiply
    1,068.65x = 1,601.76 × 490.31
  4. Step 4: Simplify right side
    1,068.65x = 785,362.95
  5. Step 5: Solve for x
    x = 785,362.95/1,068.65
  6. Step 6: Final answer
    x = 734.91

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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.