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Finding the Fourth Proportional to 1,241.42, 1,713.20 and 710.38

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Solution

The fourth proportional to 1,241.42, 1,713.20 and 710.38 is: 980.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.42 : 1,713.20 = 710.38 : x
  2. Step 2: Convert to fraction form
    1,241.42/1,713.20 = 710.38/x
  3. Step 3: Cross multiply
    1,241.42x = 1,713.20 × 710.38
  4. Step 4: Simplify right side
    1,241.42x = 1,217,015.18
  5. Step 5: Solve for x
    x = 1,217,015.18/1,241.42
  6. Step 6: Final answer
    x = 980.35

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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.