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Finding the Fourth Proportional to 474.12, 707.94 and 419.58

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Solution

The fourth proportional to 474.12, 707.94 and 419.58 is: 626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.12 : 707.94 = 419.58 : x
  2. Step 2: Convert to fraction form
    474.12/707.94 = 419.58/x
  3. Step 3: Cross multiply
    474.12x = 707.94 × 419.58
  4. Step 4: Simplify right side
    474.12x = 297,037.47
  5. Step 5: Solve for x
    x = 297,037.47/474.12
  6. Step 6: Final answer
    x = 626.50

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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.