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Finding the Fourth Proportional to 2,460.21, 3,690.52 and 705.21

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Solution

The fourth proportional to 2,460.21, 3,690.52 and 705.21 is: 1,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.21 : 3,690.52 = 705.21 : x
  2. Step 2: Convert to fraction form
    2,460.21/3,690.52 = 705.21/x
  3. Step 3: Cross multiply
    2,460.21x = 3,690.52 × 705.21
  4. Step 4: Simplify right side
    2,460.21x = 2,602,591.61
  5. Step 5: Solve for x
    x = 2,602,591.61/2,460.21
  6. Step 6: Final answer
    x = 1,057.87

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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.