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Finding the Fourth Proportional to 1,164.16, 1,745.10 and 514.96

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Solution

The fourth proportional to 1,164.16, 1,745.10 and 514.96 is: 771.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.16 : 1,745.10 = 514.96 : x
  2. Step 2: Convert to fraction form
    1,164.16/1,745.10 = 514.96/x
  3. Step 3: Cross multiply
    1,164.16x = 1,745.10 × 514.96
  4. Step 4: Simplify right side
    1,164.16x = 898,656.70
  5. Step 5: Solve for x
    x = 898,656.70/1,164.16
  6. Step 6: Final answer
    x = 771.94

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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.