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Finding the Fourth Proportional to 762.09, 1,147.28 and 520.14

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Solution

The fourth proportional to 762.09, 1,147.28 and 520.14 is: 783.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.09 : 1,147.28 = 520.14 : x
  2. Step 2: Convert to fraction form
    762.09/1,147.28 = 520.14/x
  3. Step 3: Cross multiply
    762.09x = 1,147.28 × 520.14
  4. Step 4: Simplify right side
    762.09x = 596,746.22
  5. Step 5: Solve for x
    x = 596,746.22/762.09
  6. Step 6: Final answer
    x = 783.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.