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Finding the Fourth Proportional to 594.64, 891.02 and 431.56

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Solution

The fourth proportional to 594.64, 891.02 and 431.56 is: 646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.64 : 891.02 = 431.56 : x
  2. Step 2: Convert to fraction form
    594.64/891.02 = 431.56/x
  3. Step 3: Cross multiply
    594.64x = 891.02 × 431.56
  4. Step 4: Simplify right side
    594.64x = 384,528.59
  5. Step 5: Solve for x
    x = 384,528.59/594.64
  6. Step 6: Final answer
    x = 646.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.