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Finding the Fourth Proportional to 921.93, 1,382.90 and 459.93

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Solution

The fourth proportional to 921.93, 1,382.90 and 459.93 is: 689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.93 : 1,382.90 = 459.93 : x
  2. Step 2: Convert to fraction form
    921.93/1,382.90 = 459.93/x
  3. Step 3: Cross multiply
    921.93x = 1,382.90 × 459.93
  4. Step 4: Simplify right side
    921.93x = 636,037.20
  5. Step 5: Solve for x
    x = 636,037.20/921.93
  6. Step 6: Final answer
    x = 689.90

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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.