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Finding the Fourth Proportional to 852.90, 1,276.08 and 621.86

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Solution

The fourth proportional to 852.90, 1,276.08 and 621.86 is: 930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.90 : 1,276.08 = 621.86 : x
  2. Step 2: Convert to fraction form
    852.90/1,276.08 = 621.86/x
  3. Step 3: Cross multiply
    852.90x = 1,276.08 × 621.86
  4. Step 4: Simplify right side
    852.90x = 793,543.11
  5. Step 5: Solve for x
    x = 793,543.11/852.90
  6. Step 6: Final answer
    x = 930.41

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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.