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Finding the Fourth Proportional to 947.54, 1,421.03 and 600.35

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Solution

The fourth proportional to 947.54, 1,421.03 and 600.35 is: 900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.54 : 1,421.03 = 600.35 : x
  2. Step 2: Convert to fraction form
    947.54/1,421.03 = 600.35/x
  3. Step 3: Cross multiply
    947.54x = 1,421.03 × 600.35
  4. Step 4: Simplify right side
    947.54x = 853,109.76
  5. Step 5: Solve for x
    x = 853,109.76/947.54
  6. Step 6: Final answer
    x = 900.35

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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.