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Finding the Fourth Proportional to 916.66, 1,256.74 and 900.28

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Solution

The fourth proportional to 916.66, 1,256.74 and 900.28 is: 1,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.66 : 1,256.74 = 900.28 : x
  2. Step 2: Convert to fraction form
    916.66/1,256.74 = 900.28/x
  3. Step 3: Cross multiply
    916.66x = 1,256.74 × 900.28
  4. Step 4: Simplify right side
    916.66x = 1,131,417.89
  5. Step 5: Solve for x
    x = 1,131,417.89/916.66
  6. Step 6: Final answer
    x = 1,234.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.