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Finding the Fourth Proportional to 878.59, 1,314.78 and 646.93

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Solution

The fourth proportional to 878.59, 1,314.78 and 646.93 is: 968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.59 : 1,314.78 = 646.93 : x
  2. Step 2: Convert to fraction form
    878.59/1,314.78 = 646.93/x
  3. Step 3: Cross multiply
    878.59x = 1,314.78 × 646.93
  4. Step 4: Simplify right side
    878.59x = 850,570.63
  5. Step 5: Solve for x
    x = 850,570.63/878.59
  6. Step 6: Final answer
    x = 968.11

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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.