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Finding the Fourth Proportional to 779.10, 1,075.11 and 717.18

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Solution

The fourth proportional to 779.10, 1,075.11 and 717.18 is: 989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.10 : 1,075.11 = 717.18 : x
  2. Step 2: Convert to fraction form
    779.10/1,075.11 = 717.18/x
  3. Step 3: Cross multiply
    779.10x = 1,075.11 × 717.18
  4. Step 4: Simplify right side
    779.10x = 771,047.39
  5. Step 5: Solve for x
    x = 771,047.39/779.10
  6. Step 6: Final answer
    x = 989.66

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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.