Home / 1,455.40-2,182.46-429.16

Finding the Fourth Proportional to 1,455.40, 2,182.46 and 429.16

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Solution

The fourth proportional to 1,455.40, 2,182.46 and 429.16 is: 643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.40 : 2,182.46 = 429.16 : x
  2. Step 2: Convert to fraction form
    1,455.40/2,182.46 = 429.16/x
  3. Step 3: Cross multiply
    1,455.40x = 2,182.46 × 429.16
  4. Step 4: Simplify right side
    1,455.40x = 936,624.53
  5. Step 5: Solve for x
    x = 936,624.53/1,455.40
  6. Step 6: Final answer
    x = 643.55

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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.