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Finding the Fourth Proportional to 1,047.46, 1,445.49 and 575.34

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Solution

The fourth proportional to 1,047.46, 1,445.49 and 575.34 is: 793.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.46 : 1,445.49 = 575.34 : x
  2. Step 2: Convert to fraction form
    1,047.46/1,445.49 = 575.34/x
  3. Step 3: Cross multiply
    1,047.46x = 1,445.49 × 575.34
  4. Step 4: Simplify right side
    1,047.46x = 831,648.22
  5. Step 5: Solve for x
    x = 831,648.22/1,047.46
  6. Step 6: Final answer
    x = 793.97

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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.