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Finding the Fourth Proportional to 1,300.23, 1,950.35 and 434.54

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Solution

The fourth proportional to 1,300.23, 1,950.35 and 434.54 is: 651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.23 : 1,950.35 = 434.54 : x
  2. Step 2: Convert to fraction form
    1,300.23/1,950.35 = 434.54/x
  3. Step 3: Cross multiply
    1,300.23x = 1,950.35 × 434.54
  4. Step 4: Simplify right side
    1,300.23x = 847,493.16
  5. Step 5: Solve for x
    x = 847,493.16/1,300.23
  6. Step 6: Final answer
    x = 651.81

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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.