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Finding the Fourth Proportional to 1,614.12, 2,420.70 and 574.35

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Solution

The fourth proportional to 1,614.12, 2,420.70 and 574.35 is: 861.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.12 : 2,420.70 = 574.35 : x
  2. Step 2: Convert to fraction form
    1,614.12/2,420.70 = 574.35/x
  3. Step 3: Cross multiply
    1,614.12x = 2,420.70 × 574.35
  4. Step 4: Simplify right side
    1,614.12x = 1,390,329.05
  5. Step 5: Solve for x
    x = 1,390,329.05/1,614.12
  6. Step 6: Final answer
    x = 861.35

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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.