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Finding the Fourth Proportional to 430.06, 596.23 and 415.03

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Solution

The fourth proportional to 430.06, 596.23 and 415.03 is: 575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.06 : 596.23 = 415.03 : x
  2. Step 2: Convert to fraction form
    430.06/596.23 = 415.03/x
  3. Step 3: Cross multiply
    430.06x = 596.23 × 415.03
  4. Step 4: Simplify right side
    430.06x = 247,453.34
  5. Step 5: Solve for x
    x = 247,453.34/430.06
  6. Step 6: Final answer
    x = 575.39

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1.5x scale

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.