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Finding the Fourth Proportional to 842.77, 1,264.95 and 608.74

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Solution

The fourth proportional to 842.77, 1,264.95 and 608.74 is: 913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.77 : 1,264.95 = 608.74 : x
  2. Step 2: Convert to fraction form
    842.77/1,264.95 = 608.74/x
  3. Step 3: Cross multiply
    842.77x = 1,264.95 × 608.74
  4. Step 4: Simplify right side
    842.77x = 770,019.34
  5. Step 5: Solve for x
    x = 770,019.34/842.77
  6. Step 6: Final answer
    x = 913.68

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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.