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Finding the Fourth Proportional to 711, 981.38 and 431.19

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Solution

The fourth proportional to 711, 981.38 and 431.19 is: 595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    711 : 981.38 = 431.19 : x
  2. Step 2: Convert to fraction form
    711/981.38 = 431.19/x
  3. Step 3: Cross multiply
    711x = 981.38 × 431.19
  4. Step 4: Simplify right side
    711x = 423,161.24
  5. Step 5: Solve for x
    x = 423,161.24/711
  6. Step 6: Final answer
    x = 595.16

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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.