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Finding the Fourth Proportional to 1,292.66, 1,938.38 and 561.94

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Solution

The fourth proportional to 1,292.66, 1,938.38 and 561.94 is: 842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.66 : 1,938.38 = 561.94 : x
  2. Step 2: Convert to fraction form
    1,292.66/1,938.38 = 561.94/x
  3. Step 3: Cross multiply
    1,292.66x = 1,938.38 × 561.94
  4. Step 4: Simplify right side
    1,292.66x = 1,089,248.76
  5. Step 5: Solve for x
    x = 1,089,248.76/1,292.66
  6. Step 6: Final answer
    x = 842.64

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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.