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Finding the Fourth Proportional to 840.67, 1,261.44 and 611.45

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Solution

The fourth proportional to 840.67, 1,261.44 and 611.45 is: 917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.67 : 1,261.44 = 611.45 : x
  2. Step 2: Convert to fraction form
    840.67/1,261.44 = 611.45/x
  3. Step 3: Cross multiply
    840.67x = 1,261.44 × 611.45
  4. Step 4: Simplify right side
    840.67x = 771,307.49
  5. Step 5: Solve for x
    x = 771,307.49/840.67
  6. Step 6: Final answer
    x = 917.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.