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Finding the Fourth Proportional to 877.25, 1,313.15 and 646.40

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Solution

The fourth proportional to 877.25, 1,313.15 and 646.40 is: 967.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.25 : 1,313.15 = 646.40 : x
  2. Step 2: Convert to fraction form
    877.25/1,313.15 = 646.40/x
  3. Step 3: Cross multiply
    877.25x = 1,313.15 × 646.40
  4. Step 4: Simplify right side
    877.25x = 848,820.21
  5. Step 5: Solve for x
    x = 848,820.21/877.25
  6. Step 6: Final answer
    x = 967.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.