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Finding the Fourth Proportional to 774.06, 1,068.06 and 442.36

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Solution

The fourth proportional to 774.06, 1,068.06 and 442.36 is: 610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.06 : 1,068.06 = 442.36 : x
  2. Step 2: Convert to fraction form
    774.06/1,068.06 = 442.36/x
  3. Step 3: Cross multiply
    774.06x = 1,068.06 × 442.36
  4. Step 4: Simplify right side
    774.06x = 472,467.02
  5. Step 5: Solve for x
    x = 472,467.02/774.06
  6. Step 6: Final answer
    x = 610.38

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1.5x scale

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.