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Finding the Fourth Proportional to 1,334.90, 1,840.20 and 862.76

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Solution

The fourth proportional to 1,334.90, 1,840.20 and 862.76 is: 1,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.90 : 1,840.20 = 862.76 : x
  2. Step 2: Convert to fraction form
    1,334.90/1,840.20 = 862.76/x
  3. Step 3: Cross multiply
    1,334.90x = 1,840.20 × 862.76
  4. Step 4: Simplify right side
    1,334.90x = 1,587,650.95
  5. Step 5: Solve for x
    x = 1,587,650.95/1,334.90
  6. Step 6: Final answer
    x = 1,189.34

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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.