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Finding the Fourth Proportional to 816.77, 1,224.99 and 510.51

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Solution

The fourth proportional to 816.77, 1,224.99 and 510.51 is: 765.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.77 : 1,224.99 = 510.51 : x
  2. Step 2: Convert to fraction form
    816.77/1,224.99 = 510.51/x
  3. Step 3: Cross multiply
    816.77x = 1,224.99 × 510.51
  4. Step 4: Simplify right side
    816.77x = 625,369.64
  5. Step 5: Solve for x
    x = 625,369.64/816.77
  6. Step 6: Final answer
    x = 765.67

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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.