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Finding the Fourth Proportional to 916.25, 1,374.44 and 505.58

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Solution

The fourth proportional to 916.25, 1,374.44 and 505.58 is: 758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.25 : 1,374.44 = 505.58 : x
  2. Step 2: Convert to fraction form
    916.25/1,374.44 = 505.58/x
  3. Step 3: Cross multiply
    916.25x = 1,374.44 × 505.58
  4. Step 4: Simplify right side
    916.25x = 694,879.98
  5. Step 5: Solve for x
    x = 694,879.98/916.25
  6. Step 6: Final answer
    x = 758.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.