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Finding the Fourth Proportional to 733.12, 1,012.34 and 468.06

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Solution

The fourth proportional to 733.12, 1,012.34 and 468.06 is: 646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.12 : 1,012.34 = 468.06 : x
  2. Step 2: Convert to fraction form
    733.12/1,012.34 = 468.06/x
  3. Step 3: Cross multiply
    733.12x = 1,012.34 × 468.06
  4. Step 4: Simplify right side
    733.12x = 473,835.86
  5. Step 5: Solve for x
    x = 473,835.86/733.12
  6. Step 6: Final answer
    x = 646.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.