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Finding the Fourth Proportional to 438.08, 653.14 and 432.62

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Solution

The fourth proportional to 438.08, 653.14 and 432.62 is: 644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.08 : 653.14 = 432.62 : x
  2. Step 2: Convert to fraction form
    438.08/653.14 = 432.62/x
  3. Step 3: Cross multiply
    438.08x = 653.14 × 432.62
  4. Step 4: Simplify right side
    438.08x = 282,558.10
  5. Step 5: Solve for x
    x = 282,558.10/438.08
  6. Step 6: Final answer
    x = 644.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.