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Finding the Fourth Proportional to 556.29, 839.00 and 550.13

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Solution

The fourth proportional to 556.29, 839.00 and 550.13 is: 829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.29 : 839.00 = 550.13 : x
  2. Step 2: Convert to fraction form
    556.29/839.00 = 550.13/x
  3. Step 3: Cross multiply
    556.29x = 839.00 × 550.13
  4. Step 4: Simplify right side
    556.29x = 461,556.25
  5. Step 5: Solve for x
    x = 461,556.25/556.29
  6. Step 6: Final answer
    x = 829.70

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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.