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Finding the Fourth Proportional to 1,038.96, 1,433.70 and 573.21

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Solution

The fourth proportional to 1,038.96, 1,433.70 and 573.21 is: 790.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.96 : 1,433.70 = 573.21 : x
  2. Step 2: Convert to fraction form
    1,038.96/1,433.70 = 573.21/x
  3. Step 3: Cross multiply
    1,038.96x = 1,433.70 × 573.21
  4. Step 4: Simplify right side
    1,038.96x = 821,811.18
  5. Step 5: Solve for x
    x = 821,811.18/1,038.96
  6. Step 6: Final answer
    x = 790.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.