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Finding the Fourth Proportional to 916.90, 1,267.32 and 771.64

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Solution

The fourth proportional to 916.90, 1,267.32 and 771.64 is: 1,066.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.90 : 1,267.32 = 771.64 : x
  2. Step 2: Convert to fraction form
    916.90/1,267.32 = 771.64/x
  3. Step 3: Cross multiply
    916.90x = 1,267.32 × 771.64
  4. Step 4: Simplify right side
    916.90x = 977,914.80
  5. Step 5: Solve for x
    x = 977,914.80/916.90
  6. Step 6: Final answer
    x = 1,066.54

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Why These Related Problems?

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