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Finding the Fourth Proportional to 763.06, 1,142.74 and 528.14

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Solution

The fourth proportional to 763.06, 1,142.74 and 528.14 is: 790.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.06 : 1,142.74 = 528.14 : x
  2. Step 2: Convert to fraction form
    763.06/1,142.74 = 528.14/x
  3. Step 3: Cross multiply
    763.06x = 1,142.74 × 528.14
  4. Step 4: Simplify right side
    763.06x = 603,523.05
  5. Step 5: Solve for x
    x = 603,523.05/763.06
  6. Step 6: Final answer
    x = 790.93

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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.