Home / 1,416.01-2,123.98-428.80

Finding the Fourth Proportional to 1,416.01, 2,123.98 and 428.80

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Solution

The fourth proportional to 1,416.01, 2,123.98 and 428.80 is: 643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.01 : 2,123.98 = 428.80 : x
  2. Step 2: Convert to fraction form
    1,416.01/2,123.98 = 428.80/x
  3. Step 3: Cross multiply
    1,416.01x = 2,123.98 × 428.80
  4. Step 4: Simplify right side
    1,416.01x = 910,762.62
  5. Step 5: Solve for x
    x = 910,762.62/1,416.01
  6. Step 6: Final answer
    x = 643.19

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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.