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Finding the Fourth Proportional to 1,393.12, 2,089.93 and 468.77

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Solution

The fourth proportional to 1,393.12, 2,089.93 and 468.77 is: 703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.12 : 2,089.93 = 468.77 : x
  2. Step 2: Convert to fraction form
    1,393.12/2,089.93 = 468.77/x
  3. Step 3: Cross multiply
    1,393.12x = 2,089.93 × 468.77
  4. Step 4: Simplify right side
    1,393.12x = 979,696.49
  5. Step 5: Solve for x
    x = 979,696.49/1,393.12
  6. Step 6: Final answer
    x = 703.24

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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.