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Finding the Fourth Proportional to 874.02, 1,205.64 and 563.52

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Solution

The fourth proportional to 874.02, 1,205.64 and 563.52 is: 777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.02 : 1,205.64 = 563.52 : x
  2. Step 2: Convert to fraction form
    874.02/1,205.64 = 563.52/x
  3. Step 3: Cross multiply
    874.02x = 1,205.64 × 563.52
  4. Step 4: Simplify right side
    874.02x = 679,402.25
  5. Step 5: Solve for x
    x = 679,402.25/874.02
  6. Step 6: Final answer
    x = 777.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.