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Finding the Fourth Proportional to 932.58, 1,396.04 and 566.19

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Solution

The fourth proportional to 932.58, 1,396.04 and 566.19 is: 847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.58 : 1,396.04 = 566.19 : x
  2. Step 2: Convert to fraction form
    932.58/1,396.04 = 566.19/x
  3. Step 3: Cross multiply
    932.58x = 1,396.04 × 566.19
  4. Step 4: Simplify right side
    932.58x = 790,421.06
  5. Step 5: Solve for x
    x = 790,421.06/932.58
  6. Step 6: Final answer
    x = 847.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.