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Finding the Fourth Proportional to 1,620.25, 2,430.39 and 594.25

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Solution

The fourth proportional to 1,620.25, 2,430.39 and 594.25 is: 891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.25 : 2,430.39 = 594.25 : x
  2. Step 2: Convert to fraction form
    1,620.25/2,430.39 = 594.25/x
  3. Step 3: Cross multiply
    1,620.25x = 2,430.39 × 594.25
  4. Step 4: Simplify right side
    1,620.25x = 1,444,259.26
  5. Step 5: Solve for x
    x = 1,444,259.26/1,620.25
  6. Step 6: Final answer
    x = 891.38

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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.