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Finding the Fourth Proportional to 776.58, 1,071.36 and 444.93

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Solution

The fourth proportional to 776.58, 1,071.36 and 444.93 is: 613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.58 : 1,071.36 = 444.93 : x
  2. Step 2: Convert to fraction form
    776.58/1,071.36 = 444.93/x
  3. Step 3: Cross multiply
    776.58x = 1,071.36 × 444.93
  4. Step 4: Simplify right side
    776.58x = 476,680.20
  5. Step 5: Solve for x
    x = 476,680.20/776.58
  6. Step 6: Final answer
    x = 613.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.