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Finding the Fourth Proportional to 1,047.39, 1,445.36 and 575.28

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Solution

The fourth proportional to 1,047.39, 1,445.36 and 575.28 is: 793.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.39 : 1,445.36 = 575.28 : x
  2. Step 2: Convert to fraction form
    1,047.39/1,445.36 = 575.28/x
  3. Step 3: Cross multiply
    1,047.39x = 1,445.36 × 575.28
  4. Step 4: Simplify right side
    1,047.39x = 831,483.82
  5. Step 5: Solve for x
    x = 831,483.82/1,047.39
  6. Step 6: Final answer
    x = 793.87

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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.