Home / 1,542.34-2,313.23-503.08

Finding the Fourth Proportional to 1,542.34, 2,313.23 and 503.08

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Solution

The fourth proportional to 1,542.34, 2,313.23 and 503.08 is: 754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.34 : 2,313.23 = 503.08 : x
  2. Step 2: Convert to fraction form
    1,542.34/2,313.23 = 503.08/x
  3. Step 3: Cross multiply
    1,542.34x = 2,313.23 × 503.08
  4. Step 4: Simplify right side
    1,542.34x = 1,163,739.75
  5. Step 5: Solve for x
    x = 1,163,739.75/1,542.34
  6. Step 6: Final answer
    x = 754.53

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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.