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Finding the Fourth Proportional to 1,665.32, 2,497.98 and 511.06

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Solution

The fourth proportional to 1,665.32, 2,497.98 and 511.06 is: 766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.32 : 2,497.98 = 511.06 : x
  2. Step 2: Convert to fraction form
    1,665.32/2,497.98 = 511.06/x
  3. Step 3: Cross multiply
    1,665.32x = 2,497.98 × 511.06
  4. Step 4: Simplify right side
    1,665.32x = 1,276,617.66
  5. Step 5: Solve for x
    x = 1,276,617.66/1,665.32
  6. Step 6: Final answer
    x = 766.59

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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.