Home / 1,014.07-1,521.34-429.12

Finding the Fourth Proportional to 1,014.07, 1,521.34 and 429.12

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Solution

The fourth proportional to 1,014.07, 1,521.34 and 429.12 is: 643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.07 : 1,521.34 = 429.12 : x
  2. Step 2: Convert to fraction form
    1,014.07/1,521.34 = 429.12/x
  3. Step 3: Cross multiply
    1,014.07x = 1,521.34 × 429.12
  4. Step 4: Simplify right side
    1,014.07x = 652,837.42
  5. Step 5: Solve for x
    x = 652,837.42/1,014.07
  6. Step 6: Final answer
    x = 643.78

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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.