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Finding the Fourth Proportional to 849.42, 1,266.71 and 778.95

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Solution

The fourth proportional to 849.42, 1,266.71 and 778.95 is: 1,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.42 : 1,266.71 = 778.95 : x
  2. Step 2: Convert to fraction form
    849.42/1,266.71 = 778.95/x
  3. Step 3: Cross multiply
    849.42x = 1,266.71 × 778.95
  4. Step 4: Simplify right side
    849.42x = 986,699.86
  5. Step 5: Solve for x
    x = 986,699.86/849.42
  6. Step 6: Final answer
    x = 1,161.62

Related Problems

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Double scale
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1.5x scale

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.