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Finding the Fourth Proportional to 711.11, 972.89 and 708.03

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Solution

The fourth proportional to 711.11, 972.89 and 708.03 is: 968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.11 : 972.89 = 708.03 : x
  2. Step 2: Convert to fraction form
    711.11/972.89 = 708.03/x
  3. Step 3: Cross multiply
    711.11x = 972.89 × 708.03
  4. Step 4: Simplify right side
    711.11x = 688,831.77
  5. Step 5: Solve for x
    x = 688,831.77/711.11
  6. Step 6: Final answer
    x = 968.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.