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Finding the Fourth Proportional to 646.42, 891.41 and 553.48

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Solution

The fourth proportional to 646.42, 891.41 and 553.48 is: 763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.42 : 891.41 = 553.48 : x
  2. Step 2: Convert to fraction form
    646.42/891.41 = 553.48/x
  3. Step 3: Cross multiply
    646.42x = 891.41 × 553.48
  4. Step 4: Simplify right side
    646.42x = 493,377.61
  5. Step 5: Solve for x
    x = 493,377.61/646.42
  6. Step 6: Final answer
    x = 763.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.