Home / 1,416.29-2,124.44-429.10

Finding the Fourth Proportional to 1,416.29, 2,124.44 and 429.10

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Solution

The fourth proportional to 1,416.29, 2,124.44 and 429.10 is: 643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.29 : 2,124.44 = 429.10 : x
  2. Step 2: Convert to fraction form
    1,416.29/2,124.44 = 429.10/x
  3. Step 3: Cross multiply
    1,416.29x = 2,124.44 × 429.10
  4. Step 4: Simplify right side
    1,416.29x = 911,597.71
  5. Step 5: Solve for x
    x = 911,597.71/1,416.29
  6. Step 6: Final answer
    x = 643.65

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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.