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Finding the Fourth Proportional to 1,164.02, 1,745.04 and 514.40

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Solution

The fourth proportional to 1,164.02, 1,745.04 and 514.40 is: 771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.02 : 1,745.04 = 514.40 : x
  2. Step 2: Convert to fraction form
    1,164.02/1,745.04 = 514.40/x
  3. Step 3: Cross multiply
    1,164.02x = 1,745.04 × 514.40
  4. Step 4: Simplify right side
    1,164.02x = 897,648.58
  5. Step 5: Solve for x
    x = 897,648.58/1,164.02
  6. Step 6: Final answer
    x = 771.16

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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.