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Finding the Fourth Proportional to 474.06, 707.28 and 452.20

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Solution

The fourth proportional to 474.06, 707.28 and 452.20 is: 674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.06 : 707.28 = 452.20 : x
  2. Step 2: Convert to fraction form
    474.06/707.28 = 452.20/x
  3. Step 3: Cross multiply
    474.06x = 707.28 × 452.20
  4. Step 4: Simplify right side
    474.06x = 319,832.02
  5. Step 5: Solve for x
    x = 319,832.02/474.06
  6. Step 6: Final answer
    x = 674.67

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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.