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Finding the Fourth Proportional to 532.25, 734.01 and 407.67

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Solution

The fourth proportional to 532.25, 734.01 and 407.67 is: 562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.25 : 734.01 = 407.67 : x
  2. Step 2: Convert to fraction form
    532.25/734.01 = 407.67/x
  3. Step 3: Cross multiply
    532.25x = 734.01 × 407.67
  4. Step 4: Simplify right side
    532.25x = 299,233.86
  5. Step 5: Solve for x
    x = 299,233.86/532.25
  6. Step 6: Final answer
    x = 562.21

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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.