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Finding the Fourth Proportional to 783.90, 1,080.45 and 559.83

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Solution

The fourth proportional to 783.90, 1,080.45 and 559.83 is: 771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.90 : 1,080.45 = 559.83 : x
  2. Step 2: Convert to fraction form
    783.90/1,080.45 = 559.83/x
  3. Step 3: Cross multiply
    783.90x = 1,080.45 × 559.83
  4. Step 4: Simplify right side
    783.90x = 604,868.32
  5. Step 5: Solve for x
    x = 604,868.32/783.90
  6. Step 6: Final answer
    x = 771.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.