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Finding the Fourth Proportional to 1,050.87, 1,576.64 and 434.87

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Solution

The fourth proportional to 1,050.87, 1,576.64 and 434.87 is: 652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.87 : 1,576.64 = 434.87 : x
  2. Step 2: Convert to fraction form
    1,050.87/1,576.64 = 434.87/x
  3. Step 3: Cross multiply
    1,050.87x = 1,576.64 × 434.87
  4. Step 4: Simplify right side
    1,050.87x = 685,631.33
  5. Step 5: Solve for x
    x = 685,631.33/1,050.87
  6. Step 6: Final answer
    x = 652.44

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1.5x scale

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.