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Finding the Fourth Proportional to 438.21, 607.50 and 429.30

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Solution

The fourth proportional to 438.21, 607.50 and 429.30 is: 595.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.21 : 607.50 = 429.30 : x
  2. Step 2: Convert to fraction form
    438.21/607.50 = 429.30/x
  3. Step 3: Cross multiply
    438.21x = 607.50 × 429.30
  4. Step 4: Simplify right side
    438.21x = 260,799.75
  5. Step 5: Solve for x
    x = 260,799.75/438.21
  6. Step 6: Final answer
    x = 595.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.