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Finding the Fourth Proportional to 1,605.10, 2,406.80 and 509.18

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Solution

The fourth proportional to 1,605.10, 2,406.80 and 509.18 is: 763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.10 : 2,406.80 = 509.18 : x
  2. Step 2: Convert to fraction form
    1,605.10/2,406.80 = 509.18/x
  3. Step 3: Cross multiply
    1,605.10x = 2,406.80 × 509.18
  4. Step 4: Simplify right side
    1,605.10x = 1,225,494.42
  5. Step 5: Solve for x
    x = 1,225,494.42/1,605.10
  6. Step 6: Final answer
    x = 763.50

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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.