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Finding the Fourth Proportional to 917.26, 1,374.66 and 764.16

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Solution

The fourth proportional to 917.26, 1,374.66 and 764.16 is: 1,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.26 : 1,374.66 = 764.16 : x
  2. Step 2: Convert to fraction form
    917.26/1,374.66 = 764.16/x
  3. Step 3: Cross multiply
    917.26x = 1,374.66 × 764.16
  4. Step 4: Simplify right side
    917.26x = 1,050,460.19
  5. Step 5: Solve for x
    x = 1,050,460.19/917.26
  6. Step 6: Final answer
    x = 1,145.22

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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.