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Finding the Fourth Proportional to 776.44, 1,164.53 and 314.10

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Solution

The fourth proportional to 776.44, 1,164.53 and 314.10 is: 471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.44 : 1,164.53 = 314.10 : x
  2. Step 2: Convert to fraction form
    776.44/1,164.53 = 314.10/x
  3. Step 3: Cross multiply
    776.44x = 1,164.53 × 314.10
  4. Step 4: Simplify right side
    776.44x = 365,779.66
  5. Step 5: Solve for x
    x = 365,779.66/776.44
  6. Step 6: Final answer
    x = 471.10

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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.