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Finding the Fourth Proportional to 676.47, 933.52 and 414.50

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Solution

The fourth proportional to 676.47, 933.52 and 414.50 is: 572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.47 : 933.52 = 414.50 : x
  2. Step 2: Convert to fraction form
    676.47/933.52 = 414.50/x
  3. Step 3: Cross multiply
    676.47x = 933.52 × 414.50
  4. Step 4: Simplify right side
    676.47x = 386,944.04
  5. Step 5: Solve for x
    x = 386,944.04/676.47
  6. Step 6: Final answer
    x = 572.00

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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.