Home / 1,159.32-1,739.66-429.40

Finding the Fourth Proportional to 1,159.32, 1,739.66 and 429.40

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Solution

The fourth proportional to 1,159.32, 1,739.66 and 429.40 is: 644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.32 : 1,739.66 = 429.40 : x
  2. Step 2: Convert to fraction form
    1,159.32/1,739.66 = 429.40/x
  3. Step 3: Cross multiply
    1,159.32x = 1,739.66 × 429.40
  4. Step 4: Simplify right side
    1,159.32x = 747,010.00
  5. Step 5: Solve for x
    x = 747,010.00/1,159.32
  6. Step 6: Final answer
    x = 644.35

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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.