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Finding the Fourth Proportional to 774.18, 1,068.37 and 420.10

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Solution

The fourth proportional to 774.18, 1,068.37 and 420.10 is: 579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.18 : 1,068.37 = 420.10 : x
  2. Step 2: Convert to fraction form
    774.18/1,068.37 = 420.10/x
  3. Step 3: Cross multiply
    774.18x = 1,068.37 × 420.10
  4. Step 4: Simplify right side
    774.18x = 448,822.24
  5. Step 5: Solve for x
    x = 448,822.24/774.18
  6. Step 6: Final answer
    x = 579.74

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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.