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Finding the Fourth Proportional to 457.47, 632.79 and 383.67

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Solution

The fourth proportional to 457.47, 632.79 and 383.67 is: 530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.47 : 632.79 = 383.67 : x
  2. Step 2: Convert to fraction form
    457.47/632.79 = 383.67/x
  3. Step 3: Cross multiply
    457.47x = 632.79 × 383.67
  4. Step 4: Simplify right side
    457.47x = 242,782.54
  5. Step 5: Solve for x
    x = 242,782.54/457.47
  6. Step 6: Final answer
    x = 530.71

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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.