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Finding the Fourth Proportional to 675.12, 1,011.77 and 431.11

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Solution

The fourth proportional to 675.12, 1,011.77 and 431.11 is: 646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.12 : 1,011.77 = 431.11 : x
  2. Step 2: Convert to fraction form
    675.12/1,011.77 = 431.11/x
  3. Step 3: Cross multiply
    675.12x = 1,011.77 × 431.11
  4. Step 4: Simplify right side
    675.12x = 436,184.16
  5. Step 5: Solve for x
    x = 436,184.16/675.12
  6. Step 6: Final answer
    x = 646.08

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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.