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Finding the Fourth Proportional to 779.90, 1,077.26 and 710.01

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Solution

The fourth proportional to 779.90, 1,077.26 and 710.01 is: 980.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.90 : 1,077.26 = 710.01 : x
  2. Step 2: Convert to fraction form
    779.90/1,077.26 = 710.01/x
  3. Step 3: Cross multiply
    779.90x = 1,077.26 × 710.01
  4. Step 4: Simplify right side
    779.90x = 764,861.82
  5. Step 5: Solve for x
    x = 764,861.82/779.90
  6. Step 6: Final answer
    x = 980.72

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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.