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Finding the Fourth Proportional to 522.22, 786.21 and 432.31

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Solution

The fourth proportional to 522.22, 786.21 and 432.31 is: 650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.22 : 786.21 = 432.31 : x
  2. Step 2: Convert to fraction form
    522.22/786.21 = 432.31/x
  3. Step 3: Cross multiply
    522.22x = 786.21 × 432.31
  4. Step 4: Simplify right side
    522.22x = 339,886.10
  5. Step 5: Solve for x
    x = 339,886.10/522.22
  6. Step 6: Final answer
    x = 650.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.