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Finding the Fourth Proportional to 762.20, 1,052.66 and 526.49

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Solution

The fourth proportional to 762.20, 1,052.66 and 526.49 is: 727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.20 : 1,052.66 = 526.49 : x
  2. Step 2: Convert to fraction form
    762.20/1,052.66 = 526.49/x
  3. Step 3: Cross multiply
    762.20x = 1,052.66 × 526.49
  4. Step 4: Simplify right side
    762.20x = 554,214.96
  5. Step 5: Solve for x
    x = 554,214.96/762.20
  6. Step 6: Final answer
    x = 727.13

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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.