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Finding the Fourth Proportional to 1,220.46, 1,684.42 and 925.24

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Solution

The fourth proportional to 1,220.46, 1,684.42 and 925.24 is: 1,276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.46 : 1,684.42 = 925.24 : x
  2. Step 2: Convert to fraction form
    1,220.46/1,684.42 = 925.24/x
  3. Step 3: Cross multiply
    1,220.46x = 1,684.42 × 925.24
  4. Step 4: Simplify right side
    1,220.46x = 1,558,492.76
  5. Step 5: Solve for x
    x = 1,558,492.76/1,220.46
  6. Step 6: Final answer
    x = 1,276.97

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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.