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Finding the Fourth Proportional to 556.07, 833.91 and 309.65

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Solution

The fourth proportional to 556.07, 833.91 and 309.65 is: 464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.07 : 833.91 = 309.65 : x
  2. Step 2: Convert to fraction form
    556.07/833.91 = 309.65/x
  3. Step 3: Cross multiply
    556.07x = 833.91 × 309.65
  4. Step 4: Simplify right side
    556.07x = 258,216.06
  5. Step 5: Solve for x
    x = 258,216.06/556.07
  6. Step 6: Final answer
    x = 464.36

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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.