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Finding the Fourth Proportional to 1,525.76, 2,288.72 and 430.21

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Solution

The fourth proportional to 1,525.76, 2,288.72 and 430.21 is: 645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.76 : 2,288.72 = 430.21 : x
  2. Step 2: Convert to fraction form
    1,525.76/2,288.72 = 430.21/x
  3. Step 3: Cross multiply
    1,525.76x = 2,288.72 × 430.21
  4. Step 4: Simplify right side
    1,525.76x = 984,631.75
  5. Step 5: Solve for x
    x = 984,631.75/1,525.76
  6. Step 6: Final answer
    x = 645.34

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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.