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Finding the Fourth Proportional to 653.67, 902.77 and 405.58

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Solution

The fourth proportional to 653.67, 902.77 and 405.58 is: 560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.67 : 902.77 = 405.58 : x
  2. Step 2: Convert to fraction form
    653.67/902.77 = 405.58/x
  3. Step 3: Cross multiply
    653.67x = 902.77 × 405.58
  4. Step 4: Simplify right side
    653.67x = 366,142.19
  5. Step 5: Solve for x
    x = 366,142.19/653.67
  6. Step 6: Final answer
    x = 560.14

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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.