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Finding the Fourth Proportional to 1,747.37, 2,621.32 and 514.64

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Solution

The fourth proportional to 1,747.37, 2,621.32 and 514.64 is: 772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.37 : 2,621.32 = 514.64 : x
  2. Step 2: Convert to fraction form
    1,747.37/2,621.32 = 514.64/x
  3. Step 3: Cross multiply
    1,747.37x = 2,621.32 × 514.64
  4. Step 4: Simplify right side
    1,747.37x = 1,349,036.12
  5. Step 5: Solve for x
    x = 1,349,036.12/1,747.37
  6. Step 6: Final answer
    x = 772.04

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1.5x scale

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.