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Finding the Fourth Proportional to 556.20, 832.70 and 498.60

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Solution

The fourth proportional to 556.20, 832.70 and 498.60 is: 746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.20 : 832.70 = 498.60 : x
  2. Step 2: Convert to fraction form
    556.20/832.70 = 498.60/x
  3. Step 3: Cross multiply
    556.20x = 832.70 × 498.60
  4. Step 4: Simplify right side
    556.20x = 415,184.22
  5. Step 5: Solve for x
    x = 415,184.22/556.20
  6. Step 6: Final answer
    x = 746.47

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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.