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Finding the Fourth Proportional to 1,038.15, 1,555.14 and 626.04

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Solution

The fourth proportional to 1,038.15, 1,555.14 and 626.04 is: 937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.15 : 1,555.14 = 626.04 : x
  2. Step 2: Convert to fraction form
    1,038.15/1,555.14 = 626.04/x
  3. Step 3: Cross multiply
    1,038.15x = 1,555.14 × 626.04
  4. Step 4: Simplify right side
    1,038.15x = 973,579.85
  5. Step 5: Solve for x
    x = 973,579.85/1,038.15
  6. Step 6: Final answer
    x = 937.80

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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.