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Finding the Fourth Proportional to 469.12, 700.33 and 407.63

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Solution

The fourth proportional to 469.12, 700.33 and 407.63 is: 608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.12 : 700.33 = 407.63 : x
  2. Step 2: Convert to fraction form
    469.12/700.33 = 407.63/x
  3. Step 3: Cross multiply
    469.12x = 700.33 × 407.63
  4. Step 4: Simplify right side
    469.12x = 285,469.98
  5. Step 5: Solve for x
    x = 285,469.98/469.12
  6. Step 6: Final answer
    x = 608.53

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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.