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Finding the Fourth Proportional to 653.93, 902.31 and 405.34

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Solution

The fourth proportional to 653.93, 902.31 and 405.34 is: 559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.93 : 902.31 = 405.34 : x
  2. Step 2: Convert to fraction form
    653.93/902.31 = 405.34/x
  3. Step 3: Cross multiply
    653.93x = 902.31 × 405.34
  4. Step 4: Simplify right side
    653.93x = 365,742.34
  5. Step 5: Solve for x
    x = 365,742.34/653.93
  6. Step 6: Final answer
    x = 559.30

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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.