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Finding the Fourth Proportional to 1,772.50, 2,659.13 and 540.00

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Solution

The fourth proportional to 1,772.50, 2,659.13 and 540.00 is: 810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.50 : 2,659.13 = 540.00 : x
  2. Step 2: Convert to fraction form
    1,772.50/2,659.13 = 540.00/x
  3. Step 3: Cross multiply
    1,772.50x = 2,659.13 × 540.00
  4. Step 4: Simplify right side
    1,772.50x = 1,435,931.48
  5. Step 5: Solve for x
    x = 1,435,931.48/1,772.50
  6. Step 6: Final answer
    x = 810.12

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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.