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Finding the Fourth Proportional to 438.56, 603.35 and 407.82

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Solution

The fourth proportional to 438.56, 603.35 and 407.82 is: 561.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.56 : 603.35 = 407.82 : x
  2. Step 2: Convert to fraction form
    438.56/603.35 = 407.82/x
  3. Step 3: Cross multiply
    438.56x = 603.35 × 407.82
  4. Step 4: Simplify right side
    438.56x = 246,056.16
  5. Step 5: Solve for x
    x = 246,056.16/438.56
  6. Step 6: Final answer
    x = 561.06

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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.