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Finding the Fourth Proportional to 474.23, 707.57 and 428.24

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Solution

The fourth proportional to 474.23, 707.57 and 428.24 is: 638.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.23 : 707.57 = 428.24 : x
  2. Step 2: Convert to fraction form
    474.23/707.57 = 428.24/x
  3. Step 3: Cross multiply
    474.23x = 707.57 × 428.24
  4. Step 4: Simplify right side
    474.23x = 303,004.10
  5. Step 5: Solve for x
    x = 303,004.10/474.23
  6. Step 6: Final answer
    x = 638.95

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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.