Home / 1,756.02-2,634.40-523.53

Finding the Fourth Proportional to 1,756.02, 2,634.40 and 523.53

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Solution

The fourth proportional to 1,756.02, 2,634.40 and 523.53 is: 785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.02 : 2,634.40 = 523.53 : x
  2. Step 2: Convert to fraction form
    1,756.02/2,634.40 = 523.53/x
  3. Step 3: Cross multiply
    1,756.02x = 2,634.40 × 523.53
  4. Step 4: Simplify right side
    1,756.02x = 1,379,174.26
  5. Step 5: Solve for x
    x = 1,379,174.26/1,756.02
  6. Step 6: Final answer
    x = 785.40

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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.