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Finding the Fourth Proportional to 921.74, 1,382.58 and 649.04

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Solution

The fourth proportional to 921.74, 1,382.58 and 649.04 is: 973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.74 : 1,382.58 = 649.04 : x
  2. Step 2: Convert to fraction form
    921.74/1,382.58 = 649.04/x
  3. Step 3: Cross multiply
    921.74x = 1,382.58 × 649.04
  4. Step 4: Simplify right side
    921.74x = 897,342.81
  5. Step 5: Solve for x
    x = 897,342.81/921.74
  6. Step 6: Final answer
    x = 973.54

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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.