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Finding the Fourth Proportional to 824.77, 1,138.41 and 510.28

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Solution

The fourth proportional to 824.77, 1,138.41 and 510.28 is: 704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.77 : 1,138.41 = 510.28 : x
  2. Step 2: Convert to fraction form
    824.77/1,138.41 = 510.28/x
  3. Step 3: Cross multiply
    824.77x = 1,138.41 × 510.28
  4. Step 4: Simplify right side
    824.77x = 580,907.85
  5. Step 5: Solve for x
    x = 580,907.85/824.77
  6. Step 6: Final answer
    x = 704.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.