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Finding the Fourth Proportional to 711.05, 1,063.94 and 432.41

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Solution

The fourth proportional to 711.05, 1,063.94 and 432.41 is: 647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.05 : 1,063.94 = 432.41 : x
  2. Step 2: Convert to fraction form
    711.05/1,063.94 = 432.41/x
  3. Step 3: Cross multiply
    711.05x = 1,063.94 × 432.41
  4. Step 4: Simplify right side
    711.05x = 460,050.81
  5. Step 5: Solve for x
    x = 460,050.81/711.05
  6. Step 6: Final answer
    x = 647.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.