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Finding the Fourth Proportional to 1,416.27, 2,124.71 and 429

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Solution

The fourth proportional to 1,416.27, 2,124.71 and 429 is: 643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.27 : 2,124.71 = 429 : x
  2. Step 2: Convert to fraction form
    1,416.27/2,124.71 = 429/x
  3. Step 3: Cross multiply
    1,416.27x = 2,124.71 × 429
  4. Step 4: Simplify right side
    1,416.27x = 911,498.45
  5. Step 5: Solve for x
    x = 911,498.45/1,416.27
  6. Step 6: Final answer
    x = 643.59

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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.