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Finding the Fourth Proportional to 739.32, 1,021.07 and 711.98

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Solution

The fourth proportional to 739.32, 1,021.07 and 711.98 is: 983.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.32 : 1,021.07 = 711.98 : x
  2. Step 2: Convert to fraction form
    739.32/1,021.07 = 711.98/x
  3. Step 3: Cross multiply
    739.32x = 1,021.07 × 711.98
  4. Step 4: Simplify right side
    739.32x = 726,981.42
  5. Step 5: Solve for x
    x = 726,981.42/739.32
  6. Step 6: Final answer
    x = 983.31

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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.