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Finding the Fourth Proportional to 432.58, 597.37 and 431.70

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Solution

The fourth proportional to 432.58, 597.37 and 431.70 is: 596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.58 : 597.37 = 431.70 : x
  2. Step 2: Convert to fraction form
    432.58/597.37 = 431.70/x
  3. Step 3: Cross multiply
    432.58x = 597.37 × 431.70
  4. Step 4: Simplify right side
    432.58x = 257,884.63
  5. Step 5: Solve for x
    x = 257,884.63/432.58
  6. Step 6: Final answer
    x = 596.15

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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.