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Finding the Fourth Proportional to 912.36, 1,368.09 and 547.86

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Solution

The fourth proportional to 912.36, 1,368.09 and 547.86 is: 821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.36 : 1,368.09 = 547.86 : x
  2. Step 2: Convert to fraction form
    912.36/1,368.09 = 547.86/x
  3. Step 3: Cross multiply
    912.36x = 1,368.09 × 547.86
  4. Step 4: Simplify right side
    912.36x = 749,521.79
  5. Step 5: Solve for x
    x = 749,521.79/912.36
  6. Step 6: Final answer
    x = 821.52

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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.