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Finding the Fourth Proportional to 1,730.10, 2,593.59 and 633.70

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Solution

The fourth proportional to 1,730.10, 2,593.59 and 633.70 is: 949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.10 : 2,593.59 = 633.70 : x
  2. Step 2: Convert to fraction form
    1,730.10/2,593.59 = 633.70/x
  3. Step 3: Cross multiply
    1,730.10x = 2,593.59 × 633.70
  4. Step 4: Simplify right side
    1,730.10x = 1,643,557.98
  5. Step 5: Solve for x
    x = 1,643,557.98/1,730.10
  6. Step 6: Final answer
    x = 949.98

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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.