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Finding the Fourth Proportional to 1,020.85, 1,408.76 and 555.10

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Solution

The fourth proportional to 1,020.85, 1,408.76 and 555.10 is: 766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.85 : 1,408.76 = 555.10 : x
  2. Step 2: Convert to fraction form
    1,020.85/1,408.76 = 555.10/x
  3. Step 3: Cross multiply
    1,020.85x = 1,408.76 × 555.10
  4. Step 4: Simplify right side
    1,020.85x = 782,000.54
  5. Step 5: Solve for x
    x = 782,000.54/1,020.85
  6. Step 6: Final answer
    x = 766.03

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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.