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Finding the Fourth Proportional to 437.40, 599.69 and 429.59

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Solution

The fourth proportional to 437.40, 599.69 and 429.59 is: 588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.40 : 599.69 = 429.59 : x
  2. Step 2: Convert to fraction form
    437.40/599.69 = 429.59/x
  3. Step 3: Cross multiply
    437.40x = 599.69 × 429.59
  4. Step 4: Simplify right side
    437.40x = 257,623.40
  5. Step 5: Solve for x
    x = 257,623.40/437.40
  6. Step 6: Final answer
    x = 588.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.