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Finding the Fourth Proportional to 1,221.24, 1,685.34 and 697.32

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Solution

The fourth proportional to 1,221.24, 1,685.34 and 697.32 is: 962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.24 : 1,685.34 = 697.32 : x
  2. Step 2: Convert to fraction form
    1,221.24/1,685.34 = 697.32/x
  3. Step 3: Cross multiply
    1,221.24x = 1,685.34 × 697.32
  4. Step 4: Simplify right side
    1,221.24x = 1,175,221.29
  5. Step 5: Solve for x
    x = 1,175,221.29/1,221.24
  6. Step 6: Final answer
    x = 962.32

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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.