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Finding the Fourth Proportional to 963.67, 1,435.64 and 917.23

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Solution

The fourth proportional to 963.67, 1,435.64 and 917.23 is: 1,366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.67 : 1,435.64 = 917.23 : x
  2. Step 2: Convert to fraction form
    963.67/1,435.64 = 917.23/x
  3. Step 3: Cross multiply
    963.67x = 1,435.64 × 917.23
  4. Step 4: Simplify right side
    963.67x = 1,316,810.78
  5. Step 5: Solve for x
    x = 1,316,810.78/963.67
  6. Step 6: Final answer
    x = 1,366.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.