Home / 1,159.60-1,739.70-429.25

Finding the Fourth Proportional to 1,159.60, 1,739.70 and 429.25

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Solution

The fourth proportional to 1,159.60, 1,739.70 and 429.25 is: 643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.60 : 1,739.70 = 429.25 : x
  2. Step 2: Convert to fraction form
    1,159.60/1,739.70 = 429.25/x
  3. Step 3: Cross multiply
    1,159.60x = 1,739.70 × 429.25
  4. Step 4: Simplify right side
    1,159.60x = 746,761.88
  5. Step 5: Solve for x
    x = 746,761.88/1,159.60
  6. Step 6: Final answer
    x = 643.98

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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.