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Finding the Fourth Proportional to 945.29, 1,421.01 and 582.38

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Solution

The fourth proportional to 945.29, 1,421.01 and 582.38 is: 875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.29 : 1,421.01 = 582.38 : x
  2. Step 2: Convert to fraction form
    945.29/1,421.01 = 582.38/x
  3. Step 3: Cross multiply
    945.29x = 1,421.01 × 582.38
  4. Step 4: Simplify right side
    945.29x = 827,567.80
  5. Step 5: Solve for x
    x = 827,567.80/945.29
  6. Step 6: Final answer
    x = 875.46

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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.