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Finding the Fourth Proportional to 1,605.90, 2,409 and 565.80

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Solution

The fourth proportional to 1,605.90, 2,409 and 565.80 is: 848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.90 : 2,409 = 565.80 : x
  2. Step 2: Convert to fraction form
    1,605.90/2,409 = 565.80/x
  3. Step 3: Cross multiply
    1,605.90x = 2,409 × 565.80
  4. Step 4: Simplify right side
    1,605.90x = 1,363,012.20
  5. Step 5: Solve for x
    x = 1,363,012.20/1,605.90
  6. Step 6: Final answer
    x = 848.75

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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.