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Finding the Fourth Proportional to 1,047.45, 1,445.46 and 575.35

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Solution

The fourth proportional to 1,047.45, 1,445.46 and 575.35 is: 793.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.45 : 1,445.46 = 575.35 : x
  2. Step 2: Convert to fraction form
    1,047.45/1,445.46 = 575.35/x
  3. Step 3: Cross multiply
    1,047.45x = 1,445.46 × 575.35
  4. Step 4: Simplify right side
    1,047.45x = 831,645.41
  5. Step 5: Solve for x
    x = 831,645.41/1,047.45
  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.