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Finding the Fourth Proportional to 1,002.50, 1,383.60 and 653.93

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Solution

The fourth proportional to 1,002.50, 1,383.60 and 653.93 is: 902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.50 : 1,383.60 = 653.93 : x
  2. Step 2: Convert to fraction form
    1,002.50/1,383.60 = 653.93/x
  3. Step 3: Cross multiply
    1,002.50x = 1,383.60 × 653.93
  4. Step 4: Simplify right side
    1,002.50x = 904,777.55
  5. Step 5: Solve for x
    x = 904,777.55/1,002.50
  6. Step 6: Final answer
    x = 902.52

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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.