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Finding the Fourth Proportional to 556.23, 833.81 and 465.11

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Solution

The fourth proportional to 556.23, 833.81 and 465.11 is: 697.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.23 : 833.81 = 465.11 : x
  2. Step 2: Convert to fraction form
    556.23/833.81 = 465.11/x
  3. Step 3: Cross multiply
    556.23x = 833.81 × 465.11
  4. Step 4: Simplify right side
    556.23x = 387,806.87
  5. Step 5: Solve for x
    x = 387,806.87/556.23
  6. Step 6: Final answer
    x = 697.21

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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.