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Finding the Fourth Proportional to 774.36, 1,068.14 and 479.52

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Solution

The fourth proportional to 774.36, 1,068.14 and 479.52 is: 661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.36 : 1,068.14 = 479.52 : x
  2. Step 2: Convert to fraction form
    774.36/1,068.14 = 479.52/x
  3. Step 3: Cross multiply
    774.36x = 1,068.14 × 479.52
  4. Step 4: Simplify right side
    774.36x = 512,194.49
  5. Step 5: Solve for x
    x = 512,194.49/774.36
  6. Step 6: Final answer
    x = 661.44

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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.