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Finding the Fourth Proportional to 917.67, 1,264.64 and 655.23

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Solution

The fourth proportional to 917.67, 1,264.64 and 655.23 is: 902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.67 : 1,264.64 = 655.23 : x
  2. Step 2: Convert to fraction form
    917.67/1,264.64 = 655.23/x
  3. Step 3: Cross multiply
    917.67x = 1,264.64 × 655.23
  4. Step 4: Simplify right side
    917.67x = 828,626.79
  5. Step 5: Solve for x
    x = 828,626.79/917.67
  6. Step 6: Final answer
    x = 902.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.