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Finding the Fourth Proportional to 1,038.94, 1,559.02 and 389.66

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Solution

The fourth proportional to 1,038.94, 1,559.02 and 389.66 is: 584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.94 : 1,559.02 = 389.66 : x
  2. Step 2: Convert to fraction form
    1,038.94/1,559.02 = 389.66/x
  3. Step 3: Cross multiply
    1,038.94x = 1,559.02 × 389.66
  4. Step 4: Simplify right side
    1,038.94x = 607,487.73
  5. Step 5: Solve for x
    x = 607,487.73/1,038.94
  6. Step 6: Final answer
    x = 584.72

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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.