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Finding the Fourth Proportional to 711.43, 981.91 and 427.77

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Solution

The fourth proportional to 711.43, 981.91 and 427.77 is: 590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.43 : 981.91 = 427.77 : x
  2. Step 2: Convert to fraction form
    711.43/981.91 = 427.77/x
  3. Step 3: Cross multiply
    711.43x = 981.91 × 427.77
  4. Step 4: Simplify right side
    711.43x = 420,029.50
  5. Step 5: Solve for x
    x = 420,029.50/711.43
  6. Step 6: Final answer
    x = 590.40

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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.