Home / 1,742.07-2,612.50-509.45

Finding the Fourth Proportional to 1,742.07, 2,612.50 and 509.45

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Solution

The fourth proportional to 1,742.07, 2,612.50 and 509.45 is: 764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.07 : 2,612.50 = 509.45 : x
  2. Step 2: Convert to fraction form
    1,742.07/2,612.50 = 509.45/x
  3. Step 3: Cross multiply
    1,742.07x = 2,612.50 × 509.45
  4. Step 4: Simplify right side
    1,742.07x = 1,330,943.38
  5. Step 5: Solve for x
    x = 1,330,943.38/1,742.07
  6. Step 6: Final answer
    x = 764.00

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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.