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Finding the Fourth Proportional to 1,243.04, 1,871.82 and 920.68

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Solution

The fourth proportional to 1,243.04, 1,871.82 and 920.68 is: 1,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.04 : 1,871.82 = 920.68 : x
  2. Step 2: Convert to fraction form
    1,243.04/1,871.82 = 920.68/x
  3. Step 3: Cross multiply
    1,243.04x = 1,871.82 × 920.68
  4. Step 4: Simplify right side
    1,243.04x = 1,723,347.24
  5. Step 5: Solve for x
    x = 1,723,347.24/1,243.04
  6. Step 6: Final answer
    x = 1,386.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.