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Finding the Fourth Proportional to 653.40, 902.12 and 405.07

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Solution

The fourth proportional to 653.40, 902.12 and 405.07 is: 559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.40 : 902.12 = 405.07 : x
  2. Step 2: Convert to fraction form
    653.40/902.12 = 405.07/x
  3. Step 3: Cross multiply
    653.40x = 902.12 × 405.07
  4. Step 4: Simplify right side
    653.40x = 365,417.47
  5. Step 5: Solve for x
    x = 365,417.47/653.40
  6. Step 6: Final answer
    x = 559.26

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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.