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Finding the Fourth Proportional to 1,416.70, 2,125.35 and 429.59

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Solution

The fourth proportional to 1,416.70, 2,125.35 and 429.59 is: 644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.70 : 2,125.35 = 429.59 : x
  2. Step 2: Convert to fraction form
    1,416.70/2,125.35 = 429.59/x
  3. Step 3: Cross multiply
    1,416.70x = 2,125.35 × 429.59
  4. Step 4: Simplify right side
    1,416.70x = 913,021.26
  5. Step 5: Solve for x
    x = 913,021.26/1,416.70
  6. Step 6: Final answer
    x = 644.47

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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.