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Finding the Fourth Proportional to 1,292.18, 1,783.21 and 794.71

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Solution

The fourth proportional to 1,292.18, 1,783.21 and 794.71 is: 1,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.18 : 1,783.21 = 794.71 : x
  2. Step 2: Convert to fraction form
    1,292.18/1,783.21 = 794.71/x
  3. Step 3: Cross multiply
    1,292.18x = 1,783.21 × 794.71
  4. Step 4: Simplify right side
    1,292.18x = 1,417,126.39
  5. Step 5: Solve for x
    x = 1,417,126.39/1,292.18
  6. Step 6: Final answer
    x = 1,096.70

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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.