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Finding the Fourth Proportional to 469.94, 707.74 and 419.04

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Solution

The fourth proportional to 469.94, 707.74 and 419.04 is: 631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.94 : 707.74 = 419.04 : x
  2. Step 2: Convert to fraction form
    469.94/707.74 = 419.04/x
  3. Step 3: Cross multiply
    469.94x = 707.74 × 419.04
  4. Step 4: Simplify right side
    469.94x = 296,570.32
  5. Step 5: Solve for x
    x = 296,570.32/469.94
  6. Step 6: Final answer
    x = 631.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.