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Finding the Fourth Proportional to 774.12, 1,068.28 and 420.04

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Solution

The fourth proportional to 774.12, 1,068.28 and 420.04 is: 579.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.12 : 1,068.28 = 420.04 : x
  2. Step 2: Convert to fraction form
    774.12/1,068.28 = 420.04/x
  3. Step 3: Cross multiply
    774.12x = 1,068.28 × 420.04
  4. Step 4: Simplify right side
    774.12x = 448,717.83
  5. Step 5: Solve for x
    x = 448,717.83/774.12
  6. Step 6: Final answer
    x = 579.65

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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.