Home / 1,353.47-2,030.34-429.26

Finding the Fourth Proportional to 1,353.47, 2,030.34 and 429.26

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Solution

The fourth proportional to 1,353.47, 2,030.34 and 429.26 is: 643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.47 : 2,030.34 = 429.26 : x
  2. Step 2: Convert to fraction form
    1,353.47/2,030.34 = 429.26/x
  3. Step 3: Cross multiply
    1,353.47x = 2,030.34 × 429.26
  4. Step 4: Simplify right side
    1,353.47x = 871,543.75
  5. Step 5: Solve for x
    x = 871,543.75/1,353.47
  6. Step 6: Final answer
    x = 643.93

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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.