Home / 1,159.76-1,738.59-429.15

Finding the Fourth Proportional to 1,159.76, 1,738.59 and 429.15

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Solution

The fourth proportional to 1,159.76, 1,738.59 and 429.15 is: 643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.76 : 1,738.59 = 429.15 : x
  2. Step 2: Convert to fraction form
    1,159.76/1,738.59 = 429.15/x
  3. Step 3: Cross multiply
    1,159.76x = 1,738.59 × 429.15
  4. Step 4: Simplify right side
    1,159.76x = 746,113.75
  5. Step 5: Solve for x
    x = 746,113.75/1,159.76
  6. Step 6: Final answer
    x = 643.33

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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.