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Finding the Fourth Proportional to 810.00, 1,213.60 and 637.77

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Solution

The fourth proportional to 810.00, 1,213.60 and 637.77 is: 955.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.00 : 1,213.60 = 637.77 : x
  2. Step 2: Convert to fraction form
    810.00/1,213.60 = 637.77/x
  3. Step 3: Cross multiply
    810.00x = 1,213.60 × 637.77
  4. Step 4: Simplify right side
    810.00x = 773,990.01
  5. Step 5: Solve for x
    x = 773,990.01/810.00
  6. Step 6: Final answer
    x = 955.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.