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Finding the Fourth Proportional to 1,570.10, 2,353.70 and 543.38

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Solution

The fourth proportional to 1,570.10, 2,353.70 and 543.38 is: 814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.10 : 2,353.70 = 543.38 : x
  2. Step 2: Convert to fraction form
    1,570.10/2,353.70 = 543.38/x
  3. Step 3: Cross multiply
    1,570.10x = 2,353.70 × 543.38
  4. Step 4: Simplify right side
    1,570.10x = 1,278,939.02
  5. Step 5: Solve for x
    x = 1,278,939.02/1,570.10
  6. Step 6: Final answer
    x = 814.56

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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.