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Finding the Fourth Proportional to 556.46, 762.35 and 535.69

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Solution

The fourth proportional to 556.46, 762.35 and 535.69 is: 733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.46 : 762.35 = 535.69 : x
  2. Step 2: Convert to fraction form
    556.46/762.35 = 535.69/x
  3. Step 3: Cross multiply
    556.46x = 762.35 × 535.69
  4. Step 4: Simplify right side
    556.46x = 408,381.55
  5. Step 5: Solve for x
    x = 408,381.55/556.46
  6. Step 6: Final answer
    x = 733.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.