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Finding the Fourth Proportional to 1,137.30, 1,705.68 and 771.99

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Solution

The fourth proportional to 1,137.30, 1,705.68 and 771.99 is: 1,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.30 : 1,705.68 = 771.99 : x
  2. Step 2: Convert to fraction form
    1,137.30/1,705.68 = 771.99/x
  3. Step 3: Cross multiply
    1,137.30x = 1,705.68 × 771.99
  4. Step 4: Simplify right side
    1,137.30x = 1,316,767.90
  5. Step 5: Solve for x
    x = 1,316,767.90/1,137.30
  6. Step 6: Final answer
    x = 1,157.80

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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.