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Finding the Fourth Proportional to 879.70, 1,315.59 and 782.77

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Solution

The fourth proportional to 879.70, 1,315.59 and 782.77 is: 1,170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.70 : 1,315.59 = 782.77 : x
  2. Step 2: Convert to fraction form
    879.70/1,315.59 = 782.77/x
  3. Step 3: Cross multiply
    879.70x = 1,315.59 × 782.77
  4. Step 4: Simplify right side
    879.70x = 1,029,804.38
  5. Step 5: Solve for x
    x = 1,029,804.38/879.70
  6. Step 6: Final answer
    x = 1,170.63

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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.