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Finding the Fourth Proportional to 824.46, 1,138.29 and 510.12

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Solution

The fourth proportional to 824.46, 1,138.29 and 510.12 is: 704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.46 : 1,138.29 = 510.12 : x
  2. Step 2: Convert to fraction form
    824.46/1,138.29 = 510.12/x
  3. Step 3: Cross multiply
    824.46x = 1,138.29 × 510.12
  4. Step 4: Simplify right side
    824.46x = 580,664.49
  5. Step 5: Solve for x
    x = 580,664.49/824.46
  6. Step 6: Final answer
    x = 704.30

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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.