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Finding the Fourth Proportional to 511.56, 770.55 and 498.60

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Solution

The fourth proportional to 511.56, 770.55 and 498.60 is: 751.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.56 : 770.55 = 498.60 : x
  2. Step 2: Convert to fraction form
    511.56/770.55 = 498.60/x
  3. Step 3: Cross multiply
    511.56x = 770.55 × 498.60
  4. Step 4: Simplify right side
    511.56x = 384,196.23
  5. Step 5: Solve for x
    x = 384,196.23/511.56
  6. Step 6: Final answer
    x = 751.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.