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Finding the Fourth Proportional to 1,038.91, 1,558.47 and 627.43

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Solution

The fourth proportional to 1,038.91, 1,558.47 and 627.43 is: 941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.91 : 1,558.47 = 627.43 : x
  2. Step 2: Convert to fraction form
    1,038.91/1,558.47 = 627.43/x
  3. Step 3: Cross multiply
    1,038.91x = 1,558.47 × 627.43
  4. Step 4: Simplify right side
    1,038.91x = 977,830.83
  5. Step 5: Solve for x
    x = 977,830.83/1,038.91
  6. Step 6: Final answer
    x = 941.21

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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.