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Finding the Fourth Proportional to 779.77, 1,170.34 and 317.80

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Solution

The fourth proportional to 779.77, 1,170.34 and 317.80 is: 476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.77 : 1,170.34 = 317.80 : x
  2. Step 2: Convert to fraction form
    779.77/1,170.34 = 317.80/x
  3. Step 3: Cross multiply
    779.77x = 1,170.34 × 317.80
  4. Step 4: Simplify right side
    779.77x = 371,932.46
  5. Step 5: Solve for x
    x = 371,932.46/779.77
  6. Step 6: Final answer
    x = 476.98

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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.