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Finding the Fourth Proportional to 1,525.73, 2,288.58 and 429.95

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Solution

The fourth proportional to 1,525.73, 2,288.58 and 429.95 is: 644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.73 : 2,288.58 = 429.95 : x
  2. Step 2: Convert to fraction form
    1,525.73/2,288.58 = 429.95/x
  3. Step 3: Cross multiply
    1,525.73x = 2,288.58 × 429.95
  4. Step 4: Simplify right side
    1,525.73x = 983,965.14
  5. Step 5: Solve for x
    x = 983,965.14/1,525.73
  6. Step 6: Final answer
    x = 644.92

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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.