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Finding the Fourth Proportional to 851.61, 1,274.91 and 646.99

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Solution

The fourth proportional to 851.61, 1,274.91 and 646.99 is: 968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.61 : 1,274.91 = 646.99 : x
  2. Step 2: Convert to fraction form
    851.61/1,274.91 = 646.99/x
  3. Step 3: Cross multiply
    851.61x = 1,274.91 × 646.99
  4. Step 4: Simplify right side
    851.61x = 824,854.02
  5. Step 5: Solve for x
    x = 824,854.02/851.61
  6. Step 6: Final answer
    x = 968.58

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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.