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Finding the Fourth Proportional to 1,645, 2,467.50 and 429

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Solution

The fourth proportional to 1,645, 2,467.50 and 429 is: 643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645 : 2,467.50 = 429 : x
  2. Step 2: Convert to fraction form
    1,645/2,467.50 = 429/x
  3. Step 3: Cross multiply
    1,645x = 2,467.50 × 429
  4. Step 4: Simplify right side
    1,645x = 1,058,557.50
  5. Step 5: Solve for x
    x = 1,058,557.50/1,645
  6. Step 6: Final answer
    x = 643.50

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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.