Home / 1,353.57-2,030.73-429.18

Finding the Fourth Proportional to 1,353.57, 2,030.73 and 429.18

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Solution

The fourth proportional to 1,353.57, 2,030.73 and 429.18 is: 643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.57 : 2,030.73 = 429.18 : x
  2. Step 2: Convert to fraction form
    1,353.57/2,030.73 = 429.18/x
  3. Step 3: Cross multiply
    1,353.57x = 2,030.73 × 429.18
  4. Step 4: Simplify right side
    1,353.57x = 871,548.70
  5. Step 5: Solve for x
    x = 871,548.70/1,353.57
  6. Step 6: Final answer
    x = 643.89

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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.