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Finding the Fourth Proportional to 532.64, 736.12 and 401.60

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Solution

The fourth proportional to 532.64, 736.12 and 401.60 is: 555.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.64 : 736.12 = 401.60 : x
  2. Step 2: Convert to fraction form
    532.64/736.12 = 401.60/x
  3. Step 3: Cross multiply
    532.64x = 736.12 × 401.60
  4. Step 4: Simplify right side
    532.64x = 295,625.79
  5. Step 5: Solve for x
    x = 295,625.79/532.64
  6. Step 6: Final answer
    x = 555.02

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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.