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Finding the Fourth Proportional to 1,393.53, 2,088.94 and 515.78

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Solution

The fourth proportional to 1,393.53, 2,088.94 and 515.78 is: 773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.53 : 2,088.94 = 515.78 : x
  2. Step 2: Convert to fraction form
    1,393.53/2,088.94 = 515.78/x
  3. Step 3: Cross multiply
    1,393.53x = 2,088.94 × 515.78
  4. Step 4: Simplify right side
    1,393.53x = 1,077,430.89
  5. Step 5: Solve for x
    x = 1,077,430.89/1,393.53
  6. Step 6: Final answer
    x = 773.17

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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.