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Finding the Fourth Proportional to 1,242.79, 1,715.40 and 711.97

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Solution

The fourth proportional to 1,242.79, 1,715.40 and 711.97 is: 982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.79 : 1,715.40 = 711.97 : x
  2. Step 2: Convert to fraction form
    1,242.79/1,715.40 = 711.97/x
  3. Step 3: Cross multiply
    1,242.79x = 1,715.40 × 711.97
  4. Step 4: Simplify right side
    1,242.79x = 1,221,313.34
  5. Step 5: Solve for x
    x = 1,221,313.34/1,242.79
  6. Step 6: Final answer
    x = 982.72

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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.