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Finding the Fourth Proportional to 1,051.14, 1,576.59 and 434.78

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Solution

The fourth proportional to 1,051.14, 1,576.59 and 434.78 is: 652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.14 : 1,576.59 = 434.78 : x
  2. Step 2: Convert to fraction form
    1,051.14/1,576.59 = 434.78/x
  3. Step 3: Cross multiply
    1,051.14x = 1,576.59 × 434.78
  4. Step 4: Simplify right side
    1,051.14x = 685,462.99
  5. Step 5: Solve for x
    x = 685,462.99/1,051.14
  6. Step 6: Final answer
    x = 652.11

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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.