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Finding the Fourth Proportional to 840.97, 1,255.09 and 819.10

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Solution

The fourth proportional to 840.97, 1,255.09 and 819.10 is: 1,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.97 : 1,255.09 = 819.10 : x
  2. Step 2: Convert to fraction form
    840.97/1,255.09 = 819.10/x
  3. Step 3: Cross multiply
    840.97x = 1,255.09 × 819.10
  4. Step 4: Simplify right side
    840.97x = 1,028,044.22
  5. Step 5: Solve for x
    x = 1,028,044.22/840.97
  6. Step 6: Final answer
    x = 1,222.45

Related Problems

Find fourth proportional to 420.49, 627.55 and 409.55
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.