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Finding the Fourth Proportional to 762.93, 1,145.07 and 543.06

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Solution

The fourth proportional to 762.93, 1,145.07 and 543.06 is: 815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.93 : 1,145.07 = 543.06 : x
  2. Step 2: Convert to fraction form
    762.93/1,145.07 = 543.06/x
  3. Step 3: Cross multiply
    762.93x = 1,145.07 × 543.06
  4. Step 4: Simplify right side
    762.93x = 621,841.71
  5. Step 5: Solve for x
    x = 621,841.71/762.93
  6. Step 6: Final answer
    x = 815.07

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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.