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Finding the Fourth Proportional to 431.34, 592.02 and 383.64

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Solution

The fourth proportional to 431.34, 592.02 and 383.64 is: 526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.34 : 592.02 = 383.64 : x
  2. Step 2: Convert to fraction form
    431.34/592.02 = 383.64/x
  3. Step 3: Cross multiply
    431.34x = 592.02 × 383.64
  4. Step 4: Simplify right side
    431.34x = 227,122.55
  5. Step 5: Solve for x
    x = 227,122.55/431.34
  6. Step 6: Final answer
    x = 526.55

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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.