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Finding the Fourth Proportional to 1,020.00, 1,529.49 and 434.91

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Solution

The fourth proportional to 1,020.00, 1,529.49 and 434.91 is: 652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.00 : 1,529.49 = 434.91 : x
  2. Step 2: Convert to fraction form
    1,020.00/1,529.49 = 434.91/x
  3. Step 3: Cross multiply
    1,020.00x = 1,529.49 × 434.91
  4. Step 4: Simplify right side
    1,020.00x = 665,183.13
  5. Step 5: Solve for x
    x = 665,183.13/1,020.00
  6. Step 6: Final answer
    x = 652.14

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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.