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Finding the Fourth Proportional to 556.22, 762.59 and 546.35

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Solution

The fourth proportional to 556.22, 762.59 and 546.35 is: 749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.22 : 762.59 = 546.35 : x
  2. Step 2: Convert to fraction form
    556.22/762.59 = 546.35/x
  3. Step 3: Cross multiply
    556.22x = 762.59 × 546.35
  4. Step 4: Simplify right side
    556.22x = 416,638.60
  5. Step 5: Solve for x
    x = 416,638.60/556.22
  6. Step 6: Final answer
    x = 749.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.