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Finding the Fourth Proportional to 591.15, 882.80 and 509.14

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Solution

The fourth proportional to 591.15, 882.80 and 509.14 is: 760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.15 : 882.80 = 509.14 : x
  2. Step 2: Convert to fraction form
    591.15/882.80 = 509.14/x
  3. Step 3: Cross multiply
    591.15x = 882.80 × 509.14
  4. Step 4: Simplify right side
    591.15x = 449,468.79
  5. Step 5: Solve for x
    x = 449,468.79/591.15
  6. Step 6: Final answer
    x = 760.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.