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Finding the Fourth Proportional to 1,023.50, 1,412.55 and 609.50

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Solution

The fourth proportional to 1,023.50, 1,412.55 and 609.50 is: 841.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.50 : 1,412.55 = 609.50 : x
  2. Step 2: Convert to fraction form
    1,023.50/1,412.55 = 609.50/x
  3. Step 3: Cross multiply
    1,023.50x = 1,412.55 × 609.50
  4. Step 4: Simplify right side
    1,023.50x = 860,949.23
  5. Step 5: Solve for x
    x = 860,949.23/1,023.50
  6. Step 6: Final answer
    x = 841.18

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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.