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Finding the Fourth Proportional to 912.02, 1,370.07 and 547.05

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Solution

The fourth proportional to 912.02, 1,370.07 and 547.05 is: 821.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.02 : 1,370.07 = 547.05 : x
  2. Step 2: Convert to fraction form
    912.02/1,370.07 = 547.05/x
  3. Step 3: Cross multiply
    912.02x = 1,370.07 × 547.05
  4. Step 4: Simplify right side
    912.02x = 749,496.79
  5. Step 5: Solve for x
    x = 749,496.79/912.02
  6. Step 6: Final answer
    x = 821.80

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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.