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Finding the Fourth Proportional to 916.57, 1,374.48 and 331.45

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Solution

The fourth proportional to 916.57, 1,374.48 and 331.45 is: 497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.57 : 1,374.48 = 331.45 : x
  2. Step 2: Convert to fraction form
    916.57/1,374.48 = 331.45/x
  3. Step 3: Cross multiply
    916.57x = 1,374.48 × 331.45
  4. Step 4: Simplify right side
    916.57x = 455,571.40
  5. Step 5: Solve for x
    x = 455,571.40/916.57
  6. Step 6: Final answer
    x = 497.04

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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.