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Finding the Fourth Proportional to 1,038.57, 1,433.20 and 578.12

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Solution

The fourth proportional to 1,038.57, 1,433.20 and 578.12 is: 797.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.57 : 1,433.20 = 578.12 : x
  2. Step 2: Convert to fraction form
    1,038.57/1,433.20 = 578.12/x
  3. Step 3: Cross multiply
    1,038.57x = 1,433.20 × 578.12
  4. Step 4: Simplify right side
    1,038.57x = 828,561.58
  5. Step 5: Solve for x
    x = 828,561.58/1,038.57
  6. Step 6: Final answer
    x = 797.79

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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.