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Finding the Fourth Proportional to 509.48, 761.48 and 468.47

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Solution

The fourth proportional to 509.48, 761.48 and 468.47 is: 700.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.48 : 761.48 = 468.47 : x
  2. Step 2: Convert to fraction form
    509.48/761.48 = 468.47/x
  3. Step 3: Cross multiply
    509.48x = 761.48 × 468.47
  4. Step 4: Simplify right side
    509.48x = 356,730.54
  5. Step 5: Solve for x
    x = 356,730.54/509.48
  6. Step 6: Final answer
    x = 700.19

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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.