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Finding the Fourth Proportional to 922.04, 1,382.08 and 458.90

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Solution

The fourth proportional to 922.04, 1,382.08 and 458.90 is: 687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.04 : 1,382.08 = 458.90 : x
  2. Step 2: Convert to fraction form
    922.04/1,382.08 = 458.90/x
  3. Step 3: Cross multiply
    922.04x = 1,382.08 × 458.90
  4. Step 4: Simplify right side
    922.04x = 634,236.51
  5. Step 5: Solve for x
    x = 634,236.51/922.04
  6. Step 6: Final answer
    x = 687.86

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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.