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Finding the Fourth Proportional to 914.40, 1,369.80 and 548.10

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Solution

The fourth proportional to 914.40, 1,369.80 and 548.10 is: 821.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.40 : 1,369.80 = 548.10 : x
  2. Step 2: Convert to fraction form
    914.40/1,369.80 = 548.10/x
  3. Step 3: Cross multiply
    914.40x = 1,369.80 × 548.10
  4. Step 4: Simplify right side
    914.40x = 750,787.38
  5. Step 5: Solve for x
    x = 750,787.38/914.40
  6. Step 6: Final answer
    x = 821.07

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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.