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Finding the Fourth Proportional to 1,742, 2,612.60 and 509.10

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Solution

The fourth proportional to 1,742, 2,612.60 and 509.10 is: 763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742 : 2,612.60 = 509.10 : x
  2. Step 2: Convert to fraction form
    1,742/2,612.60 = 509.10/x
  3. Step 3: Cross multiply
    1,742x = 2,612.60 × 509.10
  4. Step 4: Simplify right side
    1,742x = 1,330,074.66
  5. Step 5: Solve for x
    x = 1,330,074.66/1,742
  6. Step 6: Final answer
    x = 763.53

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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.