Home / 1,159.42-1,739.58-429.06

Finding the Fourth Proportional to 1,159.42, 1,739.58 and 429.06

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Solution

The fourth proportional to 1,159.42, 1,739.58 and 429.06 is: 643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.42 : 1,739.58 = 429.06 : x
  2. Step 2: Convert to fraction form
    1,159.42/1,739.58 = 429.06/x
  3. Step 3: Cross multiply
    1,159.42x = 1,739.58 × 429.06
  4. Step 4: Simplify right side
    1,159.42x = 746,384.19
  5. Step 5: Solve for x
    x = 746,384.19/1,159.42
  6. Step 6: Final answer
    x = 643.76

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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.