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Finding the Fourth Proportional to 518.42, 776.74 and 364.06

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Solution

The fourth proportional to 518.42, 776.74 and 364.06 is: 545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.42 : 776.74 = 364.06 : x
  2. Step 2: Convert to fraction form
    518.42/776.74 = 364.06/x
  3. Step 3: Cross multiply
    518.42x = 776.74 × 364.06
  4. Step 4: Simplify right side
    518.42x = 282,779.96
  5. Step 5: Solve for x
    x = 282,779.96/518.42
  6. Step 6: Final answer
    x = 545.46

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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.