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Finding the Fourth Proportional to 917.27, 1,368.75 and 896.32

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Solution

The fourth proportional to 917.27, 1,368.75 and 896.32 is: 1,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.27 : 1,368.75 = 896.32 : x
  2. Step 2: Convert to fraction form
    917.27/1,368.75 = 896.32/x
  3. Step 3: Cross multiply
    917.27x = 1,368.75 × 896.32
  4. Step 4: Simplify right side
    917.27x = 1,226,830.33
  5. Step 5: Solve for x
    x = 1,226,830.33/917.27
  6. Step 6: Final answer
    x = 1,337.47

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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.