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Finding the Fourth Proportional to 743.88, 1,110.48 and 646.68

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Solution

The fourth proportional to 743.88, 1,110.48 and 646.68 is: 965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.88 : 1,110.48 = 646.68 : x
  2. Step 2: Convert to fraction form
    743.88/1,110.48 = 646.68/x
  3. Step 3: Cross multiply
    743.88x = 1,110.48 × 646.68
  4. Step 4: Simplify right side
    743.88x = 718,125.21
  5. Step 5: Solve for x
    x = 718,125.21/743.88
  6. Step 6: Final answer
    x = 965.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.