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Finding the Fourth Proportional to 430.63, 597.32 and 415.88

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Solution

The fourth proportional to 430.63, 597.32 and 415.88 is: 576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.63 : 597.32 = 415.88 : x
  2. Step 2: Convert to fraction form
    430.63/597.32 = 415.88/x
  3. Step 3: Cross multiply
    430.63x = 597.32 × 415.88
  4. Step 4: Simplify right side
    430.63x = 248,410.91
  5. Step 5: Solve for x
    x = 248,410.91/430.63
  6. Step 6: Final answer
    x = 576.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.