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Finding the Fourth Proportional to 916.36, 1,362.86 and 906.64

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Solution

The fourth proportional to 916.36, 1,362.86 and 906.64 is: 1,348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.36 : 1,362.86 = 906.64 : x
  2. Step 2: Convert to fraction form
    916.36/1,362.86 = 906.64/x
  3. Step 3: Cross multiply
    916.36x = 1,362.86 × 906.64
  4. Step 4: Simplify right side
    916.36x = 1,235,623.39
  5. Step 5: Solve for x
    x = 1,235,623.39/916.36
  6. Step 6: Final answer
    x = 1,348.40

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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.