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Finding the Fourth Proportional to 491.24, 733.06 and 436.70

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Solution

The fourth proportional to 491.24, 733.06 and 436.70 is: 651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.24 : 733.06 = 436.70 : x
  2. Step 2: Convert to fraction form
    491.24/733.06 = 436.70/x
  3. Step 3: Cross multiply
    491.24x = 733.06 × 436.70
  4. Step 4: Simplify right side
    491.24x = 320,127.30
  5. Step 5: Solve for x
    x = 320,127.30/491.24
  6. Step 6: Final answer
    x = 651.67

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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.