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Finding the Fourth Proportional to 653.89, 902.40 and 405.34

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Solution

The fourth proportional to 653.89, 902.40 and 405.34 is: 559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.89 : 902.40 = 405.34 : x
  2. Step 2: Convert to fraction form
    653.89/902.40 = 405.34/x
  3. Step 3: Cross multiply
    653.89x = 902.40 × 405.34
  4. Step 4: Simplify right side
    653.89x = 365,778.82
  5. Step 5: Solve for x
    x = 365,778.82/653.89
  6. Step 6: Final answer
    x = 559.39

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1.5x scale

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.