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Finding the Fourth Proportional to 1,047.30, 1,570.96 and 499.54

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Solution

The fourth proportional to 1,047.30, 1,570.96 and 499.54 is: 749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.30 : 1,570.96 = 499.54 : x
  2. Step 2: Convert to fraction form
    1,047.30/1,570.96 = 499.54/x
  3. Step 3: Cross multiply
    1,047.30x = 1,570.96 × 499.54
  4. Step 4: Simplify right side
    1,047.30x = 784,757.36
  5. Step 5: Solve for x
    x = 784,757.36/1,047.30
  6. Step 6: Final answer
    x = 749.31

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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.