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Finding the Fourth Proportional to 1,117.02, 1,676.34 and 771.15

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Solution

The fourth proportional to 1,117.02, 1,676.34 and 771.15 is: 1,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.02 : 1,676.34 = 771.15 : x
  2. Step 2: Convert to fraction form
    1,117.02/1,676.34 = 771.15/x
  3. Step 3: Cross multiply
    1,117.02x = 1,676.34 × 771.15
  4. Step 4: Simplify right side
    1,117.02x = 1,292,709.59
  5. Step 5: Solve for x
    x = 1,292,709.59/1,117.02
  6. Step 6: Final answer
    x = 1,157.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.