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Finding the Fourth Proportional to 776.50, 1,071.36 and 461.76

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Solution

The fourth proportional to 776.50, 1,071.36 and 461.76 is: 637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.50 : 1,071.36 = 461.76 : x
  2. Step 2: Convert to fraction form
    776.50/1,071.36 = 461.76/x
  3. Step 3: Cross multiply
    776.50x = 1,071.36 × 461.76
  4. Step 4: Simplify right side
    776.50x = 494,711.19
  5. Step 5: Solve for x
    x = 494,711.19/776.50
  6. Step 6: Final answer
    x = 637.10

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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.