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Finding the Fourth Proportional to 1,038.65, 1,555.89 and 626.54

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Solution

The fourth proportional to 1,038.65, 1,555.89 and 626.54 is: 938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.65 : 1,555.89 = 626.54 : x
  2. Step 2: Convert to fraction form
    1,038.65/1,555.89 = 626.54/x
  3. Step 3: Cross multiply
    1,038.65x = 1,555.89 × 626.54
  4. Step 4: Simplify right side
    1,038.65x = 974,819.54
  5. Step 5: Solve for x
    x = 974,819.54/1,038.65
  6. Step 6: Final answer
    x = 938.55

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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.