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Finding the Fourth Proportional to 893.17, 1,341.29 and 548.53

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Solution

The fourth proportional to 893.17, 1,341.29 and 548.53 is: 823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.17 : 1,341.29 = 548.53 : x
  2. Step 2: Convert to fraction form
    893.17/1,341.29 = 548.53/x
  3. Step 3: Cross multiply
    893.17x = 1,341.29 × 548.53
  4. Step 4: Simplify right side
    893.17x = 735,731.71
  5. Step 5: Solve for x
    x = 735,731.71/893.17
  6. Step 6: Final answer
    x = 823.73

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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.