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Finding the Fourth Proportional to 651.16, 897.55 and 401.94

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Solution

The fourth proportional to 651.16, 897.55 and 401.94 is: 554.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.16 : 897.55 = 401.94 : x
  2. Step 2: Convert to fraction form
    651.16/897.55 = 401.94/x
  3. Step 3: Cross multiply
    651.16x = 897.55 × 401.94
  4. Step 4: Simplify right side
    651.16x = 360,760.24
  5. Step 5: Solve for x
    x = 360,760.24/651.16
  6. Step 6: Final answer
    x = 554.03

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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.