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Finding the Fourth Proportional to 774.51, 1,162.28 and 428.10

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Solution

The fourth proportional to 774.51, 1,162.28 and 428.10 is: 642.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.51 : 1,162.28 = 428.10 : x
  2. Step 2: Convert to fraction form
    774.51/1,162.28 = 428.10/x
  3. Step 3: Cross multiply
    774.51x = 1,162.28 × 428.10
  4. Step 4: Simplify right side
    774.51x = 497,564.12
  5. Step 5: Solve for x
    x = 497,564.12/774.51
  6. Step 6: Final answer
    x = 642.43

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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.