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Finding the Fourth Proportional to 469.70, 705.36 and 453.50

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Solution

The fourth proportional to 469.70, 705.36 and 453.50 is: 681.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.70 : 705.36 = 453.50 : x
  2. Step 2: Convert to fraction form
    469.70/705.36 = 453.50/x
  3. Step 3: Cross multiply
    469.70x = 705.36 × 453.50
  4. Step 4: Simplify right side
    469.70x = 319,880.76
  5. Step 5: Solve for x
    x = 319,880.76/469.70
  6. Step 6: Final answer
    x = 681.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.