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Finding the Fourth Proportional to 711.53, 985.71 and 694.52

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Solution

The fourth proportional to 711.53, 985.71 and 694.52 is: 962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.53 : 985.71 = 694.52 : x
  2. Step 2: Convert to fraction form
    711.53/985.71 = 694.52/x
  3. Step 3: Cross multiply
    711.53x = 985.71 × 694.52
  4. Step 4: Simplify right side
    711.53x = 684,595.31
  5. Step 5: Solve for x
    x = 684,595.31/711.53
  6. Step 6: Final answer
    x = 962.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.