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Finding the Fourth Proportional to 777.15, 1,165.76 and 314.86

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Solution

The fourth proportional to 777.15, 1,165.76 and 314.86 is: 472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.15 : 1,165.76 = 314.86 : x
  2. Step 2: Convert to fraction form
    777.15/1,165.76 = 314.86/x
  3. Step 3: Cross multiply
    777.15x = 1,165.76 × 314.86
  4. Step 4: Simplify right side
    777.15x = 367,051.19
  5. Step 5: Solve for x
    x = 367,051.19/777.15
  6. Step 6: Final answer
    x = 472.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.