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Finding the Fourth Proportional to 1,747.06, 2,621.63 and 652.21

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Solution

The fourth proportional to 1,747.06, 2,621.63 and 652.21 is: 978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.06 : 2,621.63 = 652.21 : x
  2. Step 2: Convert to fraction form
    1,747.06/2,621.63 = 652.21/x
  3. Step 3: Cross multiply
    1,747.06x = 2,621.63 × 652.21
  4. Step 4: Simplify right side
    1,747.06x = 1,709,848.38
  5. Step 5: Solve for x
    x = 1,709,848.38/1,747.06
  6. Step 6: Final answer
    x = 978.70

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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.