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Finding the Fourth Proportional to 1,605.08, 2,407.92 and 509.15

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Solution

The fourth proportional to 1,605.08, 2,407.92 and 509.15 is: 763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.08 : 2,407.92 = 509.15 : x
  2. Step 2: Convert to fraction form
    1,605.08/2,407.92 = 509.15/x
  3. Step 3: Cross multiply
    1,605.08x = 2,407.92 × 509.15
  4. Step 4: Simplify right side
    1,605.08x = 1,225,992.47
  5. Step 5: Solve for x
    x = 1,225,992.47/1,605.08
  6. Step 6: Final answer
    x = 763.82

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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.