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Finding the Fourth Proportional to 774.14, 1,068.30 and 420.07

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Solution

The fourth proportional to 774.14, 1,068.30 and 420.07 is: 579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.14 : 1,068.30 = 420.07 : x
  2. Step 2: Convert to fraction form
    774.14/1,068.30 = 420.07/x
  3. Step 3: Cross multiply
    774.14x = 1,068.30 × 420.07
  4. Step 4: Simplify right side
    774.14x = 448,760.78
  5. Step 5: Solve for x
    x = 448,760.78/774.14
  6. Step 6: Final answer
    x = 579.69

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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.