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Finding the Fourth Proportional to 472.02, 707.94 and 183.39

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Solution

The fourth proportional to 472.02, 707.94 and 183.39 is: 275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.02 : 707.94 = 183.39 : x
  2. Step 2: Convert to fraction form
    472.02/707.94 = 183.39/x
  3. Step 3: Cross multiply
    472.02x = 707.94 × 183.39
  4. Step 4: Simplify right side
    472.02x = 129,829.12
  5. Step 5: Solve for x
    x = 129,829.12/472.02
  6. Step 6: Final answer
    x = 275.05

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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.