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Finding the Fourth Proportional to 521.16, 775.61 and 501.72

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Solution

The fourth proportional to 521.16, 775.61 and 501.72 is: 746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.16 : 775.61 = 501.72 : x
  2. Step 2: Convert to fraction form
    521.16/775.61 = 501.72/x
  3. Step 3: Cross multiply
    521.16x = 775.61 × 501.72
  4. Step 4: Simplify right side
    521.16x = 389,136.54
  5. Step 5: Solve for x
    x = 389,136.54/521.16
  6. Step 6: Final answer
    x = 746.67

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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.