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Finding the Fourth Proportional to 776.61, 1,071.09 and 578.37

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Solution

The fourth proportional to 776.61, 1,071.09 and 578.37 is: 797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.61 : 1,071.09 = 578.37 : x
  2. Step 2: Convert to fraction form
    776.61/1,071.09 = 578.37/x
  3. Step 3: Cross multiply
    776.61x = 1,071.09 × 578.37
  4. Step 4: Simplify right side
    776.61x = 619,486.32
  5. Step 5: Solve for x
    x = 619,486.32/776.61
  6. Step 6: Final answer
    x = 797.68

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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.