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Finding the Fourth Proportional to 976.93, 1,465.54 and 421.79

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Solution

The fourth proportional to 976.93, 1,465.54 and 421.79 is: 632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.93 : 1,465.54 = 421.79 : x
  2. Step 2: Convert to fraction form
    976.93/1,465.54 = 421.79/x
  3. Step 3: Cross multiply
    976.93x = 1,465.54 × 421.79
  4. Step 4: Simplify right side
    976.93x = 618,154.83
  5. Step 5: Solve for x
    x = 618,154.83/976.93
  6. Step 6: Final answer
    x = 632.75

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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.