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Finding the Fourth Proportional to 653.81, 902.59 and 405.28

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Solution

The fourth proportional to 653.81, 902.59 and 405.28 is: 559.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.81 : 902.59 = 405.28 : x
  2. Step 2: Convert to fraction form
    653.81/902.59 = 405.28/x
  3. Step 3: Cross multiply
    653.81x = 902.59 × 405.28
  4. Step 4: Simplify right side
    653.81x = 365,798.99
  5. Step 5: Solve for x
    x = 365,798.99/653.81
  6. Step 6: Final answer
    x = 559.49

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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.