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Finding the Fourth Proportional to 849.95, 1,172.98 and 477.05

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Solution

The fourth proportional to 849.95, 1,172.98 and 477.05 is: 658.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.95 : 1,172.98 = 477.05 : x
  2. Step 2: Convert to fraction form
    849.95/1,172.98 = 477.05/x
  3. Step 3: Cross multiply
    849.95x = 1,172.98 × 477.05
  4. Step 4: Simplify right side
    849.95x = 559,570.11
  5. Step 5: Solve for x
    x = 559,570.11/849.95
  6. Step 6: Final answer
    x = 658.36

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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.