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Finding the Fourth Proportional to 665.50, 993.72 and 526.98

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Solution

The fourth proportional to 665.50, 993.72 and 526.98 is: 786.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.50 : 993.72 = 526.98 : x
  2. Step 2: Convert to fraction form
    665.50/993.72 = 526.98/x
  3. Step 3: Cross multiply
    665.50x = 993.72 × 526.98
  4. Step 4: Simplify right side
    665.50x = 523,670.57
  5. Step 5: Solve for x
    x = 523,670.57/665.50
  6. Step 6: Final answer
    x = 786.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.