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Finding the Fourth Proportional to 732.81, 1,012.08 and 568.99

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Solution

The fourth proportional to 732.81, 1,012.08 and 568.99 is: 785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.81 : 1,012.08 = 568.99 : x
  2. Step 2: Convert to fraction form
    732.81/1,012.08 = 568.99/x
  3. Step 3: Cross multiply
    732.81x = 1,012.08 × 568.99
  4. Step 4: Simplify right side
    732.81x = 575,863.40
  5. Step 5: Solve for x
    x = 575,863.40/732.81
  6. Step 6: Final answer
    x = 785.83

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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.