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Finding the Fourth Proportional to 438.76, 604.63 and 314.08

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Solution

The fourth proportional to 438.76, 604.63 and 314.08 is: 432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.76 : 604.63 = 314.08 : x
  2. Step 2: Convert to fraction form
    438.76/604.63 = 314.08/x
  3. Step 3: Cross multiply
    438.76x = 604.63 × 314.08
  4. Step 4: Simplify right side
    438.76x = 189,901.07
  5. Step 5: Solve for x
    x = 189,901.07/438.76
  6. Step 6: Final answer
    x = 432.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.