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Finding the Fourth Proportional to 509.07, 762.30 and 468.96

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Solution

The fourth proportional to 509.07, 762.30 and 468.96 is: 702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.07 : 762.30 = 468.96 : x
  2. Step 2: Convert to fraction form
    509.07/762.30 = 468.96/x
  3. Step 3: Cross multiply
    509.07x = 762.30 × 468.96
  4. Step 4: Simplify right side
    509.07x = 357,488.21
  5. Step 5: Solve for x
    x = 357,488.21/509.07
  6. Step 6: Final answer
    x = 702.24

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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.