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Finding the Fourth Proportional to 880.21, 1,215.17 and 705.25

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Solution

The fourth proportional to 880.21, 1,215.17 and 705.25 is: 973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.21 : 1,215.17 = 705.25 : x
  2. Step 2: Convert to fraction form
    880.21/1,215.17 = 705.25/x
  3. Step 3: Cross multiply
    880.21x = 1,215.17 × 705.25
  4. Step 4: Simplify right side
    880.21x = 856,995.12
  5. Step 5: Solve for x
    x = 856,995.12/880.21
  6. Step 6: Final answer
    x = 973.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.