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Finding the Fourth Proportional to 711.87, 981.54 and 502.08

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Solution

The fourth proportional to 711.87, 981.54 and 502.08 is: 692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.87 : 981.54 = 502.08 : x
  2. Step 2: Convert to fraction form
    711.87/981.54 = 502.08/x
  3. Step 3: Cross multiply
    711.87x = 981.54 × 502.08
  4. Step 4: Simplify right side
    711.87x = 492,811.60
  5. Step 5: Solve for x
    x = 492,811.60/711.87
  6. Step 6: Final answer
    x = 692.28

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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.