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Finding the Fourth Proportional to 967.83, 1,452.14 and 390.75

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Solution

The fourth proportional to 967.83, 1,452.14 and 390.75 is: 586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.83 : 1,452.14 = 390.75 : x
  2. Step 2: Convert to fraction form
    967.83/1,452.14 = 390.75/x
  3. Step 3: Cross multiply
    967.83x = 1,452.14 × 390.75
  4. Step 4: Simplify right side
    967.83x = 567,421.75
  5. Step 5: Solve for x
    x = 567,421.75/967.83
  6. Step 6: Final answer
    x = 586.28

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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.