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Finding the Fourth Proportional to 405.76, 611.29 and 400.72

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Solution

The fourth proportional to 405.76, 611.29 and 400.72 is: 603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.76 : 611.29 = 400.72 : x
  2. Step 2: Convert to fraction form
    405.76/611.29 = 400.72/x
  3. Step 3: Cross multiply
    405.76x = 611.29 × 400.72
  4. Step 4: Simplify right side
    405.76x = 244,956.13
  5. Step 5: Solve for x
    x = 244,956.13/405.76
  6. Step 6: Final answer
    x = 603.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.