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Finding the Fourth Proportional to 774.58, 1,160.16 and 444.76

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Solution

The fourth proportional to 774.58, 1,160.16 and 444.76 is: 666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.58 : 1,160.16 = 444.76 : x
  2. Step 2: Convert to fraction form
    774.58/1,160.16 = 444.76/x
  3. Step 3: Cross multiply
    774.58x = 1,160.16 × 444.76
  4. Step 4: Simplify right side
    774.58x = 515,992.76
  5. Step 5: Solve for x
    x = 515,992.76/774.58
  6. Step 6: Final answer
    x = 666.16

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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.