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Finding the Fourth Proportional to 877.64, 1,211.24 and 504.68

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Solution

The fourth proportional to 877.64, 1,211.24 and 504.68 is: 696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.64 : 1,211.24 = 504.68 : x
  2. Step 2: Convert to fraction form
    877.64/1,211.24 = 504.68/x
  3. Step 3: Cross multiply
    877.64x = 1,211.24 × 504.68
  4. Step 4: Simplify right side
    877.64x = 611,289.11
  5. Step 5: Solve for x
    x = 611,289.11/877.64
  6. Step 6: Final answer
    x = 696.52

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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.