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Finding the Fourth Proportional to 877.46, 1,308.20 and 855.02

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Solution

The fourth proportional to 877.46, 1,308.20 and 855.02 is: 1,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.46 : 1,308.20 = 855.02 : x
  2. Step 2: Convert to fraction form
    877.46/1,308.20 = 855.02/x
  3. Step 3: Cross multiply
    877.46x = 1,308.20 × 855.02
  4. Step 4: Simplify right side
    877.46x = 1,118,537.16
  5. Step 5: Solve for x
    x = 1,118,537.16/877.46
  6. Step 6: Final answer
    x = 1,274.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.