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Finding the Fourth Proportional to 711.40, 981.84 and 514.84

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Solution

The fourth proportional to 711.40, 981.84 and 514.84 is: 710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.40 : 981.84 = 514.84 : x
  2. Step 2: Convert to fraction form
    711.40/981.84 = 514.84/x
  3. Step 3: Cross multiply
    711.40x = 981.84 × 514.84
  4. Step 4: Simplify right side
    711.40x = 505,490.51
  5. Step 5: Solve for x
    x = 505,490.51/711.40
  6. Step 6: Final answer
    x = 710.56

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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.