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Finding the Fourth Proportional to 556.48, 764.66 and 498.16

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Solution

The fourth proportional to 556.48, 764.66 and 498.16 is: 684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.48 : 764.66 = 498.16 : x
  2. Step 2: Convert to fraction form
    556.48/764.66 = 498.16/x
  3. Step 3: Cross multiply
    556.48x = 764.66 × 498.16
  4. Step 4: Simplify right side
    556.48x = 380,923.03
  5. Step 5: Solve for x
    x = 380,923.03/556.48
  6. Step 6: Final answer
    x = 684.52

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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.