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Finding the Fourth Proportional to 877.99, 1,211.64 and 505.12

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Solution

The fourth proportional to 877.99, 1,211.64 and 505.12 is: 697.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.99 : 1,211.64 = 505.12 : x
  2. Step 2: Convert to fraction form
    877.99/1,211.64 = 505.12/x
  3. Step 3: Cross multiply
    877.99x = 1,211.64 × 505.12
  4. Step 4: Simplify right side
    877.99x = 612,023.60
  5. Step 5: Solve for x
    x = 612,023.60/877.99
  6. Step 6: Final answer
    x = 697.07

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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.