Home / 1,525.53-2,288.29-429.89

Finding the Fourth Proportional to 1,525.53, 2,288.29 and 429.89

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Solution

The fourth proportional to 1,525.53, 2,288.29 and 429.89 is: 644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.53 : 2,288.29 = 429.89 : x
  2. Step 2: Convert to fraction form
    1,525.53/2,288.29 = 429.89/x
  3. Step 3: Cross multiply
    1,525.53x = 2,288.29 × 429.89
  4. Step 4: Simplify right side
    1,525.53x = 983,712.99
  5. Step 5: Solve for x
    x = 983,712.99/1,525.53
  6. Step 6: Final answer
    x = 644.83

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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.