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Finding the Fourth Proportional to 774.09, 1,160.01 and 407.77

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Solution

The fourth proportional to 774.09, 1,160.01 and 407.77 is: 611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.09 : 1,160.01 = 407.77 : x
  2. Step 2: Convert to fraction form
    774.09/1,160.01 = 407.77/x
  3. Step 3: Cross multiply
    774.09x = 1,160.01 × 407.77
  4. Step 4: Simplify right side
    774.09x = 473,014.38
  5. Step 5: Solve for x
    x = 473,014.38/774.09
  6. Step 6: Final answer
    x = 611.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.