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Finding the Fourth Proportional to 1,289.94, 1,780.47 and 792.60

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Solution

The fourth proportional to 1,289.94, 1,780.47 and 792.60 is: 1,094.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.94 : 1,780.47 = 792.60 : x
  2. Step 2: Convert to fraction form
    1,289.94/1,780.47 = 792.60/x
  3. Step 3: Cross multiply
    1,289.94x = 1,780.47 × 792.60
  4. Step 4: Simplify right side
    1,289.94x = 1,411,200.52
  5. Step 5: Solve for x
    x = 1,411,200.52/1,289.94
  6. Step 6: Final answer
    x = 1,094.00

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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.