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Finding the Fourth Proportional to 1,050.98, 1,576.78 and 434.72

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Solution

The fourth proportional to 1,050.98, 1,576.78 and 434.72 is: 652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.98 : 1,576.78 = 434.72 : x
  2. Step 2: Convert to fraction form
    1,050.98/1,576.78 = 434.72/x
  3. Step 3: Cross multiply
    1,050.98x = 1,576.78 × 434.72
  4. Step 4: Simplify right side
    1,050.98x = 685,457.80
  5. Step 5: Solve for x
    x = 685,457.80/1,050.98
  6. Step 6: Final answer
    x = 652.21

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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.