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Finding the Fourth Proportional to 509.95, 767.70 and 464.59

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Solution

The fourth proportional to 509.95, 767.70 and 464.59 is: 699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.95 : 767.70 = 464.59 : x
  2. Step 2: Convert to fraction form
    509.95/767.70 = 464.59/x
  3. Step 3: Cross multiply
    509.95x = 767.70 × 464.59
  4. Step 4: Simplify right side
    509.95x = 356,665.74
  5. Step 5: Solve for x
    x = 356,665.74/509.95
  6. Step 6: Final answer
    x = 699.41

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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.