Home / 1,416.13-2,124.15-491.60

Finding the Fourth Proportional to 1,416.13, 2,124.15 and 491.60

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Solution

The fourth proportional to 1,416.13, 2,124.15 and 491.60 is: 737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.13 : 2,124.15 = 491.60 : x
  2. Step 2: Convert to fraction form
    1,416.13/2,124.15 = 491.60/x
  3. Step 3: Cross multiply
    1,416.13x = 2,124.15 × 491.60
  4. Step 4: Simplify right side
    1,416.13x = 1,044,232.14
  5. Step 5: Solve for x
    x = 1,044,232.14/1,416.13
  6. Step 6: Final answer
    x = 737.38

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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.