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Finding the Fourth Proportional to 543.36, 748.32 and 511.68

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Solution

The fourth proportional to 543.36, 748.32 and 511.68 is: 704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.36 : 748.32 = 511.68 : x
  2. Step 2: Convert to fraction form
    543.36/748.32 = 511.68/x
  3. Step 3: Cross multiply
    543.36x = 748.32 × 511.68
  4. Step 4: Simplify right side
    543.36x = 382,900.38
  5. Step 5: Solve for x
    x = 382,900.38/543.36
  6. Step 6: Final answer
    x = 704.69

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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.