Home / 1,378.40-2,066.34-500.53

Finding the Fourth Proportional to 1,378.40, 2,066.34 and 500.53

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Solution

The fourth proportional to 1,378.40, 2,066.34 and 500.53 is: 750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.40 : 2,066.34 = 500.53 : x
  2. Step 2: Convert to fraction form
    1,378.40/2,066.34 = 500.53/x
  3. Step 3: Cross multiply
    1,378.40x = 2,066.34 × 500.53
  4. Step 4: Simplify right side
    1,378.40x = 1,034,265.16
  5. Step 5: Solve for x
    x = 1,034,265.16/1,378.40
  6. Step 6: Final answer
    x = 750.34

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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.