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Finding the Fourth Proportional to 1,020.50, 1,408.54 and 578.66

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Solution

The fourth proportional to 1,020.50, 1,408.54 and 578.66 is: 798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.50 : 1,408.54 = 578.66 : x
  2. Step 2: Convert to fraction form
    1,020.50/1,408.54 = 578.66/x
  3. Step 3: Cross multiply
    1,020.50x = 1,408.54 × 578.66
  4. Step 4: Simplify right side
    1,020.50x = 815,065.76
  5. Step 5: Solve for x
    x = 815,065.76/1,020.50
  6. Step 6: Final answer
    x = 798.69

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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.