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Finding the Fourth Proportional to 874.93, 1,208.10 and 678.10

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Solution

The fourth proportional to 874.93, 1,208.10 and 678.10 is: 936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.93 : 1,208.10 = 678.10 : x
  2. Step 2: Convert to fraction form
    874.93/1,208.10 = 678.10/x
  3. Step 3: Cross multiply
    874.93x = 1,208.10 × 678.10
  4. Step 4: Simplify right side
    874.93x = 819,212.61
  5. Step 5: Solve for x
    x = 819,212.61/874.93
  6. Step 6: Final answer
    x = 936.32

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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.