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Finding the Fourth Proportional to 1,050.10, 1,573.99 and 433.47

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Solution

The fourth proportional to 1,050.10, 1,573.99 and 433.47 is: 649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.10 : 1,573.99 = 433.47 : x
  2. Step 2: Convert to fraction form
    1,050.10/1,573.99 = 433.47/x
  3. Step 3: Cross multiply
    1,050.10x = 1,573.99 × 433.47
  4. Step 4: Simplify right side
    1,050.10x = 682,276.46
  5. Step 5: Solve for x
    x = 682,276.46/1,050.10
  6. Step 6: Final answer
    x = 649.72

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Double scale
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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.