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Finding the Fourth Proportional to 556.06, 829.21 and 511.19

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Solution

The fourth proportional to 556.06, 829.21 and 511.19 is: 762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.06 : 829.21 = 511.19 : x
  2. Step 2: Convert to fraction form
    556.06/829.21 = 511.19/x
  3. Step 3: Cross multiply
    556.06x = 829.21 × 511.19
  4. Step 4: Simplify right side
    556.06x = 423,880.99
  5. Step 5: Solve for x
    x = 423,880.99/556.06
  6. Step 6: Final answer
    x = 762.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.