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Finding the Fourth Proportional to 1,376.56, 2,064.84 and 510.94

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Solution

The fourth proportional to 1,376.56, 2,064.84 and 510.94 is: 766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.56 : 2,064.84 = 510.94 : x
  2. Step 2: Convert to fraction form
    1,376.56/2,064.84 = 510.94/x
  3. Step 3: Cross multiply
    1,376.56x = 2,064.84 × 510.94
  4. Step 4: Simplify right side
    1,376.56x = 1,055,009.35
  5. Step 5: Solve for x
    x = 1,055,009.35/1,376.56
  6. Step 6: Final answer
    x = 766.41

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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.