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Finding the Fourth Proportional to 508.99, 767.03 and 460.28

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Solution

The fourth proportional to 508.99, 767.03 and 460.28 is: 693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.99 : 767.03 = 460.28 : x
  2. Step 2: Convert to fraction form
    508.99/767.03 = 460.28/x
  3. Step 3: Cross multiply
    508.99x = 767.03 × 460.28
  4. Step 4: Simplify right side
    508.99x = 353,048.57
  5. Step 5: Solve for x
    x = 353,048.57/508.99
  6. Step 6: Final answer
    x = 693.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.