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Finding the Fourth Proportional to 762.59, 1,050.82 and 526.61

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Solution

The fourth proportional to 762.59, 1,050.82 and 526.61 is: 725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.59 : 1,050.82 = 526.61 : x
  2. Step 2: Convert to fraction form
    762.59/1,050.82 = 526.61/x
  3. Step 3: Cross multiply
    762.59x = 1,050.82 × 526.61
  4. Step 4: Simplify right side
    762.59x = 553,365.75
  5. Step 5: Solve for x
    x = 553,365.75/762.59
  6. Step 6: Final answer
    x = 725.64

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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.