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Finding the Fourth Proportional to 433.94, 598.91 and 407.58

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Solution

The fourth proportional to 433.94, 598.91 and 407.58 is: 562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.94 : 598.91 = 407.58 : x
  2. Step 2: Convert to fraction form
    433.94/598.91 = 407.58/x
  3. Step 3: Cross multiply
    433.94x = 598.91 × 407.58
  4. Step 4: Simplify right side
    433.94x = 244,103.74
  5. Step 5: Solve for x
    x = 244,103.74/433.94
  6. Step 6: Final answer
    x = 562.53

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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.