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Finding the Fourth Proportional to 877.64, 1,211.13 and 504.60

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Solution

The fourth proportional to 877.64, 1,211.13 and 504.60 is: 696.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.64 : 1,211.13 = 504.60 : x
  2. Step 2: Convert to fraction form
    877.64/1,211.13 = 504.60/x
  3. Step 3: Cross multiply
    877.64x = 1,211.13 × 504.60
  4. Step 4: Simplify right side
    877.64x = 611,140.46
  5. Step 5: Solve for x
    x = 611,140.46/877.64
  6. Step 6: Final answer
    x = 696.35

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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.