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Finding the Fourth Proportional to 777.86, 1,160.70 and 696.14

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Solution

The fourth proportional to 777.86, 1,160.70 and 696.14 is: 1,038.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.86 : 1,160.70 = 696.14 : x
  2. Step 2: Convert to fraction form
    777.86/1,160.70 = 696.14/x
  3. Step 3: Cross multiply
    777.86x = 1,160.70 × 696.14
  4. Step 4: Simplify right side
    777.86x = 808,006.22
  5. Step 5: Solve for x
    x = 808,006.22/777.86
  6. Step 6: Final answer
    x = 1,038.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.