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Finding the Fourth Proportional to 916.66, 1,374.94 and 735.19

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Solution

The fourth proportional to 916.66, 1,374.94 and 735.19 is: 1,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.66 : 1,374.94 = 735.19 : x
  2. Step 2: Convert to fraction form
    916.66/1,374.94 = 735.19/x
  3. Step 3: Cross multiply
    916.66x = 1,374.94 × 735.19
  4. Step 4: Simplify right side
    916.66x = 1,010,842.14
  5. Step 5: Solve for x
    x = 1,010,842.14/916.66
  6. Step 6: Final answer
    x = 1,102.74

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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.