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Finding the Fourth Proportional to 876.86, 1,316.20 and 646.01

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Solution

The fourth proportional to 876.86, 1,316.20 and 646.01 is: 969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.86 : 1,316.20 = 646.01 : x
  2. Step 2: Convert to fraction form
    876.86/1,316.20 = 646.01/x
  3. Step 3: Cross multiply
    876.86x = 1,316.20 × 646.01
  4. Step 4: Simplify right side
    876.86x = 850,276.31
  5. Step 5: Solve for x
    x = 850,276.31/876.86
  6. Step 6: Final answer
    x = 969.68

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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.