Home / 1,159.53-1,739.13-428.98

Finding the Fourth Proportional to 1,159.53, 1,739.13 and 428.98

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Solution

The fourth proportional to 1,159.53, 1,739.13 and 428.98 is: 643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.53 : 1,739.13 = 428.98 : x
  2. Step 2: Convert to fraction form
    1,159.53/1,739.13 = 428.98/x
  3. Step 3: Cross multiply
    1,159.53x = 1,739.13 × 428.98
  4. Step 4: Simplify right side
    1,159.53x = 746,051.99
  5. Step 5: Solve for x
    x = 746,051.99/1,159.53
  6. Step 6: Final answer
    x = 643.41

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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.