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Finding the Fourth Proportional to 776.37, 1,071.74 and 461.74

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Solution

The fourth proportional to 776.37, 1,071.74 and 461.74 is: 637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.37 : 1,071.74 = 461.74 : x
  2. Step 2: Convert to fraction form
    776.37/1,071.74 = 461.74/x
  3. Step 3: Cross multiply
    776.37x = 1,071.74 × 461.74
  4. Step 4: Simplify right side
    776.37x = 494,860.24
  5. Step 5: Solve for x
    x = 494,860.24/776.37
  6. Step 6: Final answer
    x = 637.40

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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.