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Finding the Fourth Proportional to 762.30, 1,050.03 and 587.34

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Solution

The fourth proportional to 762.30, 1,050.03 and 587.34 is: 809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.30 : 1,050.03 = 587.34 : x
  2. Step 2: Convert to fraction form
    762.30/1,050.03 = 587.34/x
  3. Step 3: Cross multiply
    762.30x = 1,050.03 × 587.34
  4. Step 4: Simplify right side
    762.30x = 616,724.62
  5. Step 5: Solve for x
    x = 616,724.62/762.30
  6. Step 6: Final answer
    x = 809.03

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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.