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Finding the Fourth Proportional to 838.88, 1,252.19 and 777.90

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Solution

The fourth proportional to 838.88, 1,252.19 and 777.90 is: 1,161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.88 : 1,252.19 = 777.90 : x
  2. Step 2: Convert to fraction form
    838.88/1,252.19 = 777.90/x
  3. Step 3: Cross multiply
    838.88x = 1,252.19 × 777.90
  4. Step 4: Simplify right side
    838.88x = 974,075.47
  5. Step 5: Solve for x
    x = 974,075.47/838.88
  6. Step 6: Final answer
    x = 1,161.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.