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Finding the Fourth Proportional to 430.10, 596.58 and 415.35

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Solution

The fourth proportional to 430.10, 596.58 and 415.35 is: 576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.10 : 596.58 = 415.35 : x
  2. Step 2: Convert to fraction form
    430.10/596.58 = 415.35/x
  3. Step 3: Cross multiply
    430.10x = 596.58 × 415.35
  4. Step 4: Simplify right side
    430.10x = 247,788.02
  5. Step 5: Solve for x
    x = 247,788.02/430.10
  6. Step 6: Final answer
    x = 576.12

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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.