Home / 779.24-1,076.30-566.20

Finding the Fourth Proportional to 779.24, 1,076.30 and 566.20

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Solution

The fourth proportional to 779.24, 1,076.30 and 566.20 is: 782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.24 : 1,076.30 = 566.20 : x
  2. Step 2: Convert to fraction form
    779.24/1,076.30 = 566.20/x
  3. Step 3: Cross multiply
    779.24x = 1,076.30 × 566.20
  4. Step 4: Simplify right side
    779.24x = 609,401.06
  5. Step 5: Solve for x
    x = 609,401.06/779.24
  6. Step 6: Final answer
    x = 782.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.