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Finding the Fourth Proportional to 429.77, 594.08 and 383.60

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Solution

The fourth proportional to 429.77, 594.08 and 383.60 is: 530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.77 : 594.08 = 383.60 : x
  2. Step 2: Convert to fraction form
    429.77/594.08 = 383.60/x
  3. Step 3: Cross multiply
    429.77x = 594.08 × 383.60
  4. Step 4: Simplify right side
    429.77x = 227,889.09
  5. Step 5: Solve for x
    x = 227,889.09/429.77
  6. Step 6: Final answer
    x = 530.26

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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.