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Finding the Fourth Proportional to 1,292.33, 1,938.15 and 561.74

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Solution

The fourth proportional to 1,292.33, 1,938.15 and 561.74 is: 842.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.33 : 1,938.15 = 561.74 : x
  2. Step 2: Convert to fraction form
    1,292.33/1,938.15 = 561.74/x
  3. Step 3: Cross multiply
    1,292.33x = 1,938.15 × 561.74
  4. Step 4: Simplify right side
    1,292.33x = 1,088,736.38
  5. Step 5: Solve for x
    x = 1,088,736.38/1,292.33
  6. Step 6: Final answer
    x = 842.46

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1.5x scale

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.