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Finding the Fourth Proportional to 413.28, 615.24 and 407.52

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Solution

The fourth proportional to 413.28, 615.24 and 407.52 is: 606.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.28 : 615.24 = 407.52 : x
  2. Step 2: Convert to fraction form
    413.28/615.24 = 407.52/x
  3. Step 3: Cross multiply
    413.28x = 615.24 × 407.52
  4. Step 4: Simplify right side
    413.28x = 250,722.60
  5. Step 5: Solve for x
    x = 250,722.60/413.28
  6. Step 6: Final answer
    x = 606.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.