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Finding the Fourth Proportional to 1,292.60, 1,781.78 and 794.32

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Solution

The fourth proportional to 1,292.60, 1,781.78 and 794.32 is: 1,094.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.60 : 1,781.78 = 794.32 : x
  2. Step 2: Convert to fraction form
    1,292.60/1,781.78 = 794.32/x
  3. Step 3: Cross multiply
    1,292.60x = 1,781.78 × 794.32
  4. Step 4: Simplify right side
    1,292.60x = 1,415,303.49
  5. Step 5: Solve for x
    x = 1,415,303.49/1,292.60
  6. Step 6: Final answer
    x = 1,094.93

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1.5x scale

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.